%!PS-Adobe-2.0 %%Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %%Title: arXiv:hep-lat/0210011v1 8 Oct 2002 %%Pages: 4 %%PageOrder: Ascend %%BoundingBox: 0 0 612 792 %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips -R -P pk -K1 -z DynDWF.dvi -o %DVIPSParameters: dpi=600, compressed, comments removed %DVIPSSource: TeX output 2021.12.04:2327 %%BeginProcSet: texc.pro /TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72 mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{ landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[ matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{ statusdict/manualfeed true 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636] def (figure.1) [2 [369 491 369 503] 689] def (figure.2) [3 [351 490 351 502] 688] def (cite.DWFbasics) [3 [302 170 302 182] 368] def (cite.ChronoOrder) [4 [83 598 83 610] 791] def (cite.CUtherm) [3 [302 107 302 119] 306] def (page.1) [1 [61 691 61 703] 791] def (page.2) [2 [83 691 83 703] 791] def (page.3) [3 [61 691 61 703] 791] def (page.4) [4 [83 691 83 703] 791] def (section*.1) [3 [302 170 302 182] 368] def (cite.DWF_spect) [4 [83 551 83 563] 749] def end targetdump-hook def TeXDict begin %%EndSetup %%Page: 1 1 gsave %matrix defaultmatrix setmatrix 90 rotate /stampsize 20 def /Times-Roman findfont stampsize scalefont setfont currentfont /FontBBox get aload pop /pdf@top exch 1000 div stampsize mul def pop /pdf@bottom exch 1000 div stampsize mul def pop 274 -32 moveto currentpoint /pdf@lly exch pdf@bottom add def /pdf@llx exch 2 sub def 0.5 setgray (arXiv:hep-lat/0210011v1 8 Oct 2002) show currentpoint /pdf@ury exch pdf@top add def /pdf@urx exch 2 add def /pdfmark 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(\(HMC\))i(algorithm)f(whic)n(h)g(ac-)1913 1758 y(celerate)47 b(the)h(sim)n(ulation)f(rep)r(orted)f(b)r(elo)n(w)i(on)f(the)1913 1857 y(QCDSP)28 b(b)n(y)f(ab)r(out)g(a)h(factor)e(of)i(three.)1913 2053 y Fi(2.)47 b(New)32 b(algorithms)1996 2216 y Fs(The)38 b(lattice)f(QCD)h(partition)f(function)h(with)g(t)n(w)n(o)1913 2316 y(\015a)n(v)n(ors)26 b(\()p Fh(N)2274 2328 y Fg(F)2352 2316 y Fs(=2\))h(of)h(D)n(WF)g(quarks)e(is)1913 2524 y Fh(Z)j Fs(=)2087 2411 y Fd(Z)2184 2524 y Ff(D)r Fh(U)2326 2463 y Fs(det\()p Fh(D)2544 2433 y Fp(y)2579 2463 y Fh(D)r Fs(\))p Ff(j)2705 2475 y Fg(m)p Fq(=)p Fg(m)2874 2484 y Fc(f)p 2326 2505 591 4 v 2357 2581 a Fs(det)q(\()p Fh(D)2576 2557 y Fp(y)2610 2581 y Fh(D)r Fs(\))p Ff(j)2736 2593 y Fg(m)p Fq(=1)2926 2524 y Fh(e)2965 2490 y Fp(\000)p Fg(S)3058 2498 y Fc(g)3096 2524 y Fh(;)460 b Fs(\(1\))1913 2715 y(where)35 b Fh(D)j Fs(is)d(the)h(5d)f(Dirac)f(op)r(erator)g(with) i(4d)f(bare)1913 2815 y(fermion)h(mass)f Fh(m)h Fs(and)g Fh(S)2766 2827 y Fg(g)2841 2815 y Fs(the)g(gauge)f(action.)61 b(The)1913 2915 y(determinan)n(t)32 b(in)f(the)h(denominator)f(in)h (Eq.)48 b(1)p (#equation.1) [[479 367 484 379] [1 1 1 [3 3]] [0 0 1]] pdfm 31 w(comes)1913 3014 y(from)37 b(the)h(Bosonic)d(P)n(auli-Villars)g (regulators,)j Fh(\036)3553 3026 y Fg(P)9 b(V)3662 3014 y Fs(,)1913 3114 y(whose)31 b(mass)g(is)g(set)h(to)f(1)g(to)h(cancel)f (the)h(dominating)1913 3214 y(con)n(tribution)40 b(from)h(the)g (fermions)f(on)g(the)i(bulk)e(5d)1913 3313 y(lattice.)51 b(This)32 b(allo)n(ws)f(us)h(to)g(study)h(4d)f(QCD)g(with)h(2)1913 3413 y(\015a)n(v)n(ors)c(of)j(ligh)n(t)f(quarks)f(lo)r(calized)h(at)g (the)h(b)r(oundary)1913 3512 y(and)h(coupled)g(to)g(the)h(4d)f(gauge)f (\014eld.)53 b(The)34 b(original)1913 3612 y(fermion)28 b(action)f(emplo)n(y)n(ed)f(in)i([3)p (#cite.PavlosSchw) [[426 284 431 296] [1 1 1 [3 3]] [0 0 1]] pdfm (,2) p (#cite.CUtherm) [[434 284 439 296] [1 1 1 [3 3]] [0 0 1]] pdfm -1 w(])g(w)n(as)2114 3776 y Fh(S)2165 3788 y Fg(F)2243 3776 y Fs(=)2331 3697 y Fd(X)2347 3871 y Fg(x;s)2451 3776 y Ff(f\000)p Fh(\036)2607 3736 y Fp(y)2607 3800 y Fg(F)2662 3776 y Fs(\()p Fh(D)2765 3741 y Fp(y)2800 3776 y Fh(D)r Fs(\))p Ff(j)2926 3741 y Fp(\000)p Fq(1)2926 3796 y Fg(m)p Fq(=)p Fg(m)3095 3805 y Fc(f)3136 3776 y Fh(\036)3185 3788 y Fg(F)3579 3776 y Fs(\(2\))2384 4004 y Ff(\000)p Fh(\036)2498 3964 y Fp(y)2498 4029 y Fg(P)9 b(V)2607 4004 y Fs(\()p Fh(D)2710 3970 y Fp(y)2745 4004 y Fh(D)r Fs(\))p Ff(j)2871 4016 y Fg(m)p Fq(=1)3018 4004 y Fh(\036)3067 4016 y Fg(P)g(V)3177 4004 y Ff(g)p Fh(;)1913 4151 y Fs(where)37 b Fh(\036)2212 4163 y Fg(F)2305 4151 y Fs(is)g(the)h(pseudo-fermion)e(\014eld.)66 b(By)37 b(in)n(te-)1913 4251 y(grating)26 b(out)g Fh(\036)2394 4263 y Fg(F)2477 4251 y Fs(and)g Fh(\036)2686 4263 y Fg(P)9 b(V)2796 4251 y Fs(,)27 b(w)n(e)f(obtain)g(the)i(partition)1913 4350 y(function)22 b(Eq.)35 b(1)p (#equation.1) [[359 195 364 207] [1 1 1 [3 3]] [0 0 1]] pdfm (.)f(W)-7 b(e)22 b(c)n(hose)e(h)n(ybrid)h(Mon)n(te)h(Carlo)e(phi)1913 4450 y(algorithm)37 b(\(HMC-)p Fh(\036)p Fs(\))h([4)p (#cite.HMC) [[396 183 401 195] [1 1 1 [3 3]] [0 0 1]] pdfm (])f(to)g (generate)g(the)g(Mark)n(o)n(v)1913 4550 y(c)n(hain)27 b(of)h(gauge)e(con\014gurations.)1996 4668 y(Noticing)61 b(equiv)-5 b(alence)60 b(b)r(et)n(w)n(een)3202 4628 y Fq(det)o(\()p Fg(A)3370 4603 y Fb(y)3402 4628 y Fg(A)p Fq(\))p 3199 4649 282 4 v 3199 4698 a(det)o(\()p Fg(B)3370 4681 y Fb(y)3402 4698 y Fg(B)s Fq(\))3551 4668 y Fs(and)1913 4791 y Ff(f)p Fs(det[)p Fh(B)t Fs(\()p Fh(A)2254 4761 y Fp(y)2290 4791 y Fh(A)p Fs(\))2384 4761 y Fp(\000)p Fq(1)2473 4791 y Fh(B)2540 4761 y Fp(y)2575 4791 y Fs(])p Ff(g)2640 4761 y Fp(\000)p Fq(1)2729 4791 y Fs(,)33 b(w)n(e)e(could)h (also)e(obtain)i(the)1913 4891 y(partition)c(function)g(Eq.)36 b(1)p (#equation.1) [[401 130 406 142] [1 1 1 [3 3]] [0 0 1]] pdfm 27 w(from)27 b(a)h(new)f(action)3499 4861 y Fq(4)p (#Hfootnote.1) [[492 130 496 142] [1 1 1 [3 3]] [0 0 1]] pdfm 1913 5038 a Fh(S)1969 5004 y Fp(0)2015 5038 y Fs(=)c Ff(\000)p Fh(\036)2217 4998 y Fp(y)2217 5062 y Fg(F)2272 5038 y Fs([)p Fh(D)r Ff(j)2389 5050 y Fg(m)p Fq(=1)2537 5038 y Fs(\()p Fh(D)2640 5004 y Fp(y)2675 5038 y Fh(D)r Fs(\))p Ff(j)2801 5004 y Fp(\000)p Fq(1)2801 5058 y Fg(m)p Fq(=)p Fg(m)2970 5067 y Fc(f)3011 5038 y Fh(D)r Ff(j)3105 4998 y Fp(y)3105 5060 y Fg(m)p Fq(=1)3253 5038 y Fs(])p Fh(\036)3325 5050 y Fg(F)3579 5038 y Fs(\(3\))p 1913 5081 709 4 v 1913 5135 a Fl(4)1972 5159 y Fe(This)g(part)h(of)f(the)i (w)n(ork)e(is)g(done)i(mainly)d(b)n(y)i(C.)f(Da)n(wson.)p eop %%Page: 2 2 2 1 bop 94 213 a Fs(2)94 470 y(where)67 b(w)n(e)g(need)g(only)f(one)h (b)r(osonic)f(\014eld)h Fh(\036)1787 482 y Fg(F)1843 470 y Fs(.)94 570 y(Ev)n(en/o)r(dd)34 b(preconditioning)g(is)g (implemen)n(ted)i(in)f(ei-)94 669 y(ther)28 b(case.)178 769 y(The)36 b(b)r(ene\014ts)i(of)e(the)h(new)g(action)f(and)h(the)g (asso-)94 868 y(ciated)g(force)e(term)i(are)e(\014rst)h(the)h(un)n(w)n (an)n(ted)e(con)n(tri-)94 968 y(bution)30 b(from)e(5d)h(bulk)g(fermion) g(is)g(no)n(w)f(canceled)h(ex-)94 1068 y(plicitly)34 b(while)f(it)g(w)n(as)f(canceled)g(only)h(sto)r(c)n(hastically)94 1167 y(in)k(the)f(original)e(force)h(term.)61 b(This)36 b(leads)f(to)h(b)r(etter)94 1267 y(acceptance)c(in)h(the)g(Metrop)r (olis)e(accept/reject)h(step,)94 1367 y(whic)n(h)e(increased)e(b)n(y)g (ab)r(out)i(20\045)e(in)h(a)g(realistic)f(sim-)94 1466 y(ulation.)55 b(Secondly)-7 b(,)35 b(the)f(source)e(v)n(ector,)i Fh(\036)1536 1478 y Fg(F)1592 1466 y Fs(,)h(of)f(the)94 1566 y(Dirac)g(equation)f(solv)n(ed)f(in)i(the)g(force)f(term)g (calcula-)94 1665 y(tion)h(is)f(mo)r(di\014ed)h(to)g Fh(D)884 1635 y Fp(y)918 1665 y Ff(j)941 1677 y Fg(m)p Fq(=1)1089 1665 y Fh(\036)1138 1677 y Fg(F)1227 1665 y Fs(as)f(seen)g(in)h(Eq.)54 b(3)p (#equation.3) [[288 517 293 529] [1 1 1 [3 3]] [0 0 1]] pdfm (,)94 1765 y(and)40 b(it)f(turns)h(out)f(that)h(the)f(n)n(um)n(b)r(er)h(of)f (conjugate)94 1865 y(gradien)n(t\(CG\))25 b(iterations)f(is)g(20)g(-)g (30)g(\045)h(smaller)f(than)94 1964 y(that)k(of)g(the)g(original)e (action.)178 2064 y(The)31 b(second)g(impro)n(v)n(emen)n(t)g([5)p (#cite.ChronoOrder) [[210 469 215 481] [1 1 1 [3 3]] [0 0 1]] pdfm -1 w(])h(is)g(to)f(forecast)g(the)94 2164 y(solution)25 b(of)g(the)g(CG)g(at)g(eac)n(h)f(step)g(of)h(a)g(HMD)g(tra)5 b(jec-)94 2263 y(tory)24 b(from)h(the)g(solutions)f(of)h(previous)e (steps.)36 b(In)25 b(eac)n(h)94 2363 y(of)f(tra)5 b(jectories,)22 b(the)h(system)g(ob)r(eys)g(the)g(smo)r(oth)g(clas-)94 2462 y(sical)38 b(molecular)g(dynamics)g(\(MD\),)i(so)e(future)h(solu-) 94 2562 y(tions)21 b(can)g(b)r(e)g(estimated)h(from)e(past)h(ones.)34 b(W)-7 b(e)21 b(c)n(ho)r(ose)94 2662 y(the)40 b(Minimal)g(Residual)f (Extrap)r(olation)f(metho)r(d)i(of)94 2761 y([5)p (#cite.ChronoOrder) [[86 386 91 398] [1 1 1 [3 3]] [0 0 1]] pdfm (])24 b(with)g(a)g(rep)r(eated)f(Gram-Sc)n(hmidt)g(orthogonaliza-)94 2861 y(tion)h(to)e(ensure)h(orthogonalit)n(y)-7 b(.)33 b(The)23 b(solution)f(is)h(fore-)94 2961 y(casted)41 b(b)n(y)g(minimizing)g(the)g(norm)g(of)g(the)g(residual)94 3060 y(v)n(ector)32 b(within)i(the)f(subspace)g(spanned)g(b)n(y)f (previous)94 3160 y(solutions.)40 b(Then)29 b(the)g(forecasted)e (solution)h(is)h(passed)94 3260 y(in)n(to)f(the)g(ordinary)e(CG)h(as)g (an)h(initial)g(input)g(v)n(ector.)178 3359 y(The)37 b(manner)g(of)h(con)n(v)n(ergence)d(of)j(the)g(CG)g(based)94 3459 y(on)29 b(di\013eren)n(t)g(n)n(um)n(b)r(ers)g(of)g(previous)e (solutions)i(in)g(the)94 3558 y(forecasting)23 b(is)g(sho)n(wn)g(in)h (Fig.)35 b(1)p (#figure.1) [[205 290 210 302] [1 1 1 [3 3]] [0 0 1]] pdfm (.)h(The)23 b(squared)g(norm)94 3658 y(of)28 b(the)f(residual)f(v)n(ector)g(of)h(a) g(solution)f(\(v)n(ertical)h(axis\))94 3758 y(is)36 b(already)e(small,) k Ff(O)r Fs(\(1\),)g(at)d(zero)g(CG)h(coun)n(t)f(\(hori-)94 3857 y(zon)n(tal)20 b(axis\))g(when)h(the)g(n)n(um)n(b)r(er)f(of)g (previous)g(solution)94 3957 y(used)28 b(in)f(the)h(forecast)e(\()p Fh(N)929 3969 y Fg(p)967 3957 y Fs(\))i(is)f(larger)e(than)j(one.)36 b(The)94 4057 y(CG)29 b(iterations)f(required)f(for)h(con)n(v)n (ergence)e(decreases)94 4156 y(monotonically)h(with)h(increasing)e Fh(N)1276 4168 y Fg(p)1314 4156 y Fs(,)i(up)g(to)f(7.)178 4256 y(The)e(rev)n(ersibilit)n(y)e(required)h(to)h(pro)n(v)n(e)f(the)h (detailed)94 4355 y(balance)35 b(in)h(the)g(Mark)n(o)n(v)e(c)n(hain)h (is)g(c)n(hec)n(k)n(ed)g(b)n(y)g(\015ip-)94 4455 y(ping)j(the)g(sign)g (of)g(the)g(conjugate)f(momen)n(tum)h(\014eld)94 4555 y(at)32 b(the)g(end)g(of)g(a)f(tra)5 b(jectory)30 b(and)i(ev)n(olving)e (the)i(con-)94 4654 y(\014guration)e(bac)n(kw)n(ard)e(b)n(y)i(the)h (same)e(n)n(um)n(b)r(er)h(of)h(MD)94 4754 y(steps.)k(The)19 b(resulting)g(con\014guration)f(obtained)h(at)h(the)94 4854 y(end)k(of)f(the)h(rev)n(ersed)d(pro)r(cess)h(di\013ers)h(from)g (the)h(initial)94 4953 y(con\014guration)f(b)n(y)h(less)f(than)h(2)11 b Ff(\002)g Fs(10)1258 4923 y Fp(\000)p Fq(5)1370 4953 y Fs(in)24 b(elemen)n(ts)g(of)94 5053 y(SU\(3\))32 b(link)f(v)-5 b(ariables)30 b(for)g(a)h(CG)g(con)n(v)n(ergence)e(crite-)94 5152 y(ria,)c Ff(j)p Fh(r)r(es)p Ff(j)p Fh(=)p Ff(j)p Fh(sr)r(c)p Ff(j)e Fh(<)g Fs(10)800 5122 y Fp(\000)p Fq(8)888 5152 y Fs(.)36 b(By)24 b(this)h(tric)n(k)e(with)i Fh(N)1676 5164 y Fg(p)1737 5152 y Fs(=)e(7)2102 1737 y @beginspecial 33 @llx 33 @lly 678 @urx 573 @ury 1935 @rwi @setspecial %%BeginDocument: precog_cg_2.eps gsave 711.000 0.000 translate 90 rotate 1.000 1.000 scale gsave 606.000 0.000 translate 90 rotate 1.000 1.000 scale gsave 711.000 0.000 translate 90 rotate 1.000 1.000 scale 80 dict begin /languagelevel where {pop /gs_languagelevel languagelevel def} {/gs_languagelevel 1 def} ifelse gs_languagelevel 1 gt { <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<0000000000000000000000000000000000000000000000000000000000000000>} image end } >> matrix makepattern /Pat0 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<1111000044440000111100004444000011110000444400001111000044440000>} image end } >> matrix makepattern /Pat1 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<1111444411114444111144441111444411114444111144441111444411114444>} image end } >> matrix makepattern /Pat2 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<aaaa5555aaaa5555aaaa5555aaaa5555aaaa5555aaaa5555aaaa5555aaaa5555>} image end } >> matrix makepattern /Pat3 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<eeeebbbbeeeebbbbeeeebbbbeeeebbbbeeeebbbbeeeebbbbeeeebbbbeeeebbbb>} image end } >> matrix makepattern /Pat4 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<eeeeffffbbbbffffeeeeffffbbbbffffeeeeffffbbbbffffeeeeffffbbbbffff>} image end } >> matrix makepattern /Pat5 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<f77dffffbeeffffff77dffffbeeffffff77dffffbeeffffff77dffffbeefffff>} image end } >> matrix makepattern /Pat6 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff>} image end } >> matrix makepattern /Pat7 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<e1e1f0f078783c3c1e1e0f0f8787c3c3e1e1f0f078783c3c1e1e0f0f8787c3c3>} image end } >> matrix makepattern /Pat8 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<87870f0f1e1e3c3c7878f0f0e1e1c3c387870f0f1e1e3c3c7878f0f0e1e1c3c3>} image end } >> matrix makepattern /Pat9 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc>} image end } >> matrix makepattern /Pat10 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<00000000ffffffff00000000ffffffff00000000ffffffff00000000ffffffff>} image end } >> matrix makepattern /Pat11 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<7e7ebdbddbdbe7e7e7e7dbdbbdbd7e7e7e7ebdbddbdbe7e7e7e7dbdbbdbd7e7e>} image end } >> matrix 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/Ucircumflex /Udieresis /Yacute /Thorn /germandbls /agrave /aacute /acircumflex /atilde /adieresis /aring /ae /ccedilla /egrave /eacute /ecircumflex /edieresis /igrave /iacute /icircumflex /idieresis /eth /ntilde /ograve /oacute /ocircumflex /otilde /odieresis /divide /oslash /ugrave /uacute /ucircumflex /udieresis /yacute /thorn /ydieresis /ISOLatin1Encoding where not {256 array astore def} if cleartomark /makeISOEncoded { findfont /curfont exch def /newfont curfont maxlength dict def /ISOLatin1 (-ISOLatin1) def /curfontname curfont /FontName get dup length string cvs def /newfontname curfontname length ISOLatin1 length add string dup 0 curfontname putinterval dup curfontname length ISOLatin1 putinterval def curfont { exch dup /FID ne { dup /Encoding eq { exch pop ISOLatin1Encoding exch } if dup /FontName eq { exch pop newfontname exch } if exch newfont 3 1 roll put } { pop pop } ifelse } forall newfontname newfont definefont } def /Times-Roman makeISOEncoded pop /Times-Bold makeISOEncoded pop /Times-Italic makeISOEncoded pop /Times-BoldItalic makeISOEncoded pop /Helvetica makeISOEncoded pop /Helvetica-Bold makeISOEncoded pop /Helvetica-Oblique makeISOEncoded pop /Helvetica-BoldOblique makeISOEncoded pop 2550 0 translate 90 rotate s 0.000000 0.000000 0.000000 setrgbcolor 1 setlinewidth /Times-Italic-ISOLatin1 findfont 60 scalefont setfont [] 0 setdash 601 434 m 601 444 l 870 434 m 870 444 l 1139 434 m 1139 444 l 1407 434 m 1407 444 l 1676 434 m 1676 444 l 1945 434 m 1945 444 l 2214 434 m 2214 444 l 2483 434 m 2483 444 l 2752 434 m 2752 444 l 601 2114 m 601 2104 l 870 2114 m 870 2104 l 1139 2114 m 1139 2104 l 1407 2114 m 1407 2104 l 1676 2114 m 1676 2104 l 1945 2114 m 1945 2104 l 2214 2114 m 2214 2104 l 2483 2114 m 2483 2104 l 2752 2114 m 2752 2104 l s 601 434 m 601 454 l 1139 434 m 1139 454 l 1676 434 m 1676 454 l 2214 434 m 2214 454 l 2752 434 m 2752 454 l 601 2114 m 601 2094 l 1139 2114 m 1139 2094 l 1676 2114 m 1676 2094 l 2214 2114 m 2214 2094 l 2752 2114 m 2752 2094 l /Times-Italic-ISOLatin1 findfont 83 scalefont setfont /Helvetica-ISOLatin1 findfont 83 scalefont setfont s 601 364 m gsave 601 364 translate 0 rotate 0 -27 m (0) CS (0) show grestore newpath 1139 364 m gsave 1139 364 translate 0 rotate 0 -27 m (200) CS (200) show grestore newpath 1676 364 m gsave 1676 364 translate 0 rotate 0 -27 m (400) CS (400) show grestore newpath 2214 364 m gsave 2214 364 translate 0 rotate 0 -27 m (600) CS (600) show grestore newpath 2752 364 m gsave 2752 364 translate 0 rotate 0 -27 m (800) CS (800) show grestore newpath /Helvetica-ISOLatin1 findfont 83 scalefont setfont 1649 224 m gsave 1649 224 translate 0 rotate 0 0 m (CG iteration) CS (CG iteration) show grestore newpath 547 370 m 567 370 l 547 829 m 567 829 l 547 1288 m 567 1288 l 547 1747 m 567 1747 l 2752 370 m 2732 370 l 2752 829 m 2732 829 l 2752 1288 m 2732 1288 l 2752 1747 m 2732 1747 l /Helvetica-ISOLatin1 findfont 83 scalefont setfont s 493 462 m gsave 493 462 translate 0 rotate 0 -27 m (10-10) RJ (10) show /Helvetica-ISOLatin1 findfont 49 scalefont setfont 0 49 rmoveto (-10) show /Helvetica-ISOLatin1 findfont 82 scalefont setfont 0 -49 rmoveto () show grestore newpath 493 921 m gsave 493 921 translate 0 rotate 0 -27 m (10-5) RJ (10) show /Helvetica-ISOLatin1 findfont 49 scalefont setfont 0 49 rmoveto (-5) show /Helvetica-ISOLatin1 findfont 82 scalefont setfont 0 -49 rmoveto () show grestore newpath 493 1380 m gsave 493 1380 translate 0 rotate 0 -27 m (100) RJ (10) show /Helvetica-ISOLatin1 findfont 49 scalefont setfont 0 49 rmoveto (0) show /Helvetica-ISOLatin1 findfont 82 scalefont setfont 0 -49 rmoveto () show grestore newpath 493 1839 m gsave 493 1839 translate 0 rotate 0 -27 m (105) RJ (10) show /Helvetica-ISOLatin1 findfont 49 scalefont setfont 0 49 rmoveto (5) show /Helvetica-ISOLatin1 findfont 82 scalefont setfont 0 -49 rmoveto () show grestore newpath /Helvetica-ISOLatin1 findfont 108 scalefont setfont 220 1274 m gsave 220 1274 translate 90 rotate 0 0 m (|res|2) CS (|res|) show /Helvetica-ISOLatin1 findfont 64 scalefont setfont 0 64 rmoveto (2) show /Helvetica-ISOLatin1 findfont 108 scalefont setfont 0 -64 rmoveto () show grestore newpath /Helvetica-ISOLatin1 findfont 112 scalefont setfont 1649 2327 m gsave 1649 2327 translate 0 rotate 0 0 m (|res|2 vs CG interation) CS (|res|) show /Helvetica-ISOLatin1 findfont 67 scalefont setfont 0 67 rmoveto (2) show /Helvetica-ISOLatin1 findfont 112 scalefont setfont 0 -67 rmoveto ( vs CG interation) show grestore newpath /Helvetica-ISOLatin1 findfont 73 scalefont setfont 1649 2175 m gsave 1649 2175 translate 0 rotate 0 0 m (16x16x16x32, beta=0.80, HMC_2, conf #170) CS (16x16x16x32, beta=0.80, HMC_2, conf #170) show grestore newpath 5 setlinewidth 601 2067 m 603 1960 l 606 1885 l 609 1830 l 612 1787 l 614 1750 l 617 1719 l 620 1691 l 622 1665 l 625 1642 l 628 1620 l 630 1600 l 633 1581 l 636 1564 l 638 1549 l 641 1535 l 644 1523 l 646 1513 l 649 1504 l 652 1495 l 655 1488 l 657 1480 l 660 1473 l 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y(direction)31 b(of)g(length)h Fh(T)43 b Fs(at)32 b(a)f(space)g(p)r(oin)n(t)h Fh(x)p Fs(,)h Fh(L)1490 2574 y Fg(T)1542 2562 y Fs(\()p Fh(x)p Fs(\),)-94 2662 y(w)n(e)h(obtain)h(the)g(hea)n(vy)f(quark)g(p)r(oten)n (tial)g Fh(e)1335 2632 y Fp(\000)p Fg(V)15 b Fq(\()p Fg(r)r Fq(\))p Fg(T)1613 2662 y Fs(=)-94 2761 y Ff(h)p Fh(L)-5 2721 y Fp(y)-5 2786 y Fg(T)47 2761 y Fs(\()p Fh(x)p Fs(\))p Fh(L)215 2773 y Fg(T)267 2761 y Fs(\()p Fh(x)21 b Fs(+)f Fh(r)r Fs(\))p Ff(i)587 2731 y Fq(5)p (#Hfootnote.2) [[142 386 147 398] [1 1 1 [3 3]] [0 0 1]] pdfm 624 2761 a Fs(.)45 b(As)30 b(sho)n(wn)g(in)g(Fig.)45 b(2)p (#figure.2) [[235 386 240 398] [1 1 1 [3 3]] [0 0 1]] pdfm (,)30 b(the)h(\014t)-94 2869 y(to)40 b(the)g(data)g(for)g(4)j Ff(\024)h Fh(T)55 b Ff(\024)44 b Fs(6)c(and)1180 2801 y Ff(p)p 1249 2801 42 4 v 68 x Fs(2)j Ff(\024)h Fh(r)j Ff(\024)d Fs(7)-94 2969 y(to)49 b(the)i(function)f Fh(V)19 b Fs(\()p Fh(r)r Fs(\))62 b(=)e Fh(C)39 b Ff(\000)33 b Fh(\013=r)j Fs(+)d Fh(\033)s(r)53 b Fs(giv)n(es)-94 3069 y Fh(a)-50 3009 y Ff(p)p 19 3009 51 4 v 60 x Fh(\033)43 b Fs(=)c(0)p Fh(:)p Fs(28\(2\),)f(or)f Fh(a)685 3039 y Fp(\000)p Fq(1)814 3069 y Ff(\031)g Fs(1.7\(2\))g(GeV,)h(and)f(the) -94 3168 y(Sommer)27 b(scale,)f Fh(r)487 3180 y Fq(0)525 3168 y Fh(=a)d Fs(=)f(4)p Fh(:)p Fs(1\(3\).)-11 3268 y(Meson)d(propagators)e(are)i(calculated)g(using)h(v)-5 b(alence)-94 3379 y(quarks)35 b(with)i Fh(L)438 3391 y Fg(s)512 3379 y Fs(=)h(12)p Fh(;)14 b(M)817 3391 y Fq(5)892 3379 y Fs(=)38 b(1)p Fh(:)p Fs(8)e(and)h Fh(am)1426 3336 y Fq(\()p Fg(v)r(al)p Fq(\))1426 3404 y Fg(f)1613 3379 y Fs(=)-94 3479 y(0)p Fh(:)p Fs(015)p Fh(;)14 b Fs(0)p Fh(:)p Fs(020)p Fh(;)g Fs(0)p Fh(:)p Fs(025)p Fh(;)g Fs(0)o Fh(:)p Fs(03)o(0.)47 b(Extrap)r(olating)31 b(the)i(v)n(ec-)-94 3590 y(tor)e(meson)h(mass)f(linearly)-7 b(,)32 b(w)n(e)g(\014nd)h Fh(aM)1253 3602 y Fg(V)1310 3590 y Fs(\()p Fh(m)1415 3547 y Fq(\()p Fg(v)r(al)p Fq(\))1415 3615 y Fg(f)1594 3590 y Ff(!)-94 3689 y Fs(0\))h(=0.34\(9\))f(whic)n(h) 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Ff(\002)h Fs(10)337 4755 y Fp(\000)p Fq(3)425 4785 y Fs(,)26 b(whic)n(h)g (corresp)r(onds)e(to)i(a)f(few)h(MeV.)p -94 5003 709 4 v -94 5056 a Fl(5)-38 5080 y Fe(This)c(calculation)h(is)e(done)i (using)f(the)h(MILC)f(co)r(de,)h(v)n(ersion)f(6)-94 5159 y(for)g(whic)n(h)i(w)n(e)g(thank)h(MILC)f(collab)r(oration.)1913 1747 y @beginspecial 20 @llx 33 @lly 666 @urx 577 @ury 1938 @rwi @setspecial %%BeginDocument: pot.eps gsave 686.000 0.000 translate 90 rotate 1.000 1.000 scale gsave 610.000 0.000 translate 90 rotate 1.000 1.000 scale gsave 686.000 0.000 translate 90 rotate 1.000 1.000 scale 80 dict begin /languagelevel where {pop /gs_languagelevel languagelevel def} {/gs_languagelevel 1 def} ifelse gs_languagelevel 1 gt { <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<0000000000000000000000000000000000000000000000000000000000000000>} image end } >> matrix makepattern /Pat0 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<1111000044440000111100004444000011110000444400001111000044440000>} image end } >> matrix makepattern /Pat1 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<1111444411114444111144441111444411114444111144441111444411114444>} image end } >> matrix makepattern /Pat2 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<aaaa5555aaaa5555aaaa5555aaaa5555aaaa5555aaaa5555aaaa5555aaaa5555>} image end } >> matrix makepattern /Pat3 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<eeeebbbbeeeebbbbeeeebbbbeeeebbbbeeeebbbbeeeebbbbeeeebbbbeeeebbbb>} image end } >> matrix makepattern /Pat4 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<eeeeffffbbbbffffeeeeffffbbbbffffeeeeffffbbbbffffeeeeffffbbbbffff>} image end } >> matrix makepattern /Pat5 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<f77dffffbeeffffff77dffffbeeffffff77dffffbeeffffff77dffffbeefffff>} image end } >> matrix makepattern /Pat6 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff>} image end } >> matrix makepattern /Pat7 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<e1e1f0f078783c3c1e1e0f0f8787c3c3e1e1f0f078783c3c1e1e0f0f8787c3c3>} image end } >> matrix makepattern /Pat8 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<87870f0f1e1e3c3c7878f0f0e1e1c3c387870f0f1e1e3c3c7878f0f0e1e1c3c3>} image end } >> matrix makepattern /Pat9 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc>} image end } >> matrix makepattern /Pat10 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<00000000ffffffff00000000ffffffff00000000ffffffff00000000ffffffff>} image end } >> matrix makepattern /Pat11 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<7e7ebdbddbdbe7e7e7e7dbdbbdbd7e7e7e7ebdbddbdbe7e7e7e7dbdbbdbd7e7e>} image end } >> matrix makepattern /Pat12 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<fd7e7ebfbfdfdfefeff7f7fbfbfdfd7e7ebfbfdfdfefeff7f7fbfbfdfd7e7ebf>} image end } >> matrix makepattern /Pat13 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<7ebffd7efbfdf7fbeff7dfefbfdf7ebffd7efbfdf7fbeff7dfefbfdf7ebffd7e>} image end } >> matrix makepattern /Pat14 exch def <</PaintType 1 /PatternType 1 /TilingType 1 /BBox [0 0 12 12] /XStep 12 /YStep 12 /PaintProc{ begin 12 12 scale 16 16 1 [16 0 0 16 0 0] {<fffffbdff3dfebdfdbdfbbdf7bdffbdefbddfbdbfbd7fbcffbdfffffffffffff>} image end } >> matrix makepattern /Pat15 exch def }{ /Pat0 { 0.000000 setgray } def /Pat1 { 0.062500 setgray } def /Pat2 { 0.125000 setgray } def /Pat3 { 0.187500 setgray } def /Pat4 { 0.250000 setgray } def /Pat5 { 0.312500 setgray } def /Pat6 { 0.375000 setgray } def /Pat7 { 0.437500 setgray } def /Pat8 { 0.500000 setgray } def /Pat9 { 0.562500 setgray } def /Pat10 { 0.625000 setgray } def /Pat11 { 0.687500 setgray } def /Pat12 { 0.750000 setgray } def /Pat13 { 0.812500 setgray } def /Pat14 { 0.875000 setgray } def /Pat15 { 0.937500 setgray } def /setpattern { } def } ifelse /m {moveto} bind def /l {lineto} bind def /s {stroke} bind def % Symbol fill /f { gsave fill grestore stroke } bind def % Opaque symbol /o { gsave 1.000000 1.000000 1.000000 setrgbcolor fill grestore stroke } bind def % Circle symbol /a { 3 -1 roll 0 360 arc } bind def /da { a s } bind def /fa { a f } bind def /oa { a o } bind def % Square symbol /sq { moveto dup dup rmoveto 2 mul dup neg 0 rlineto dup neg 0 exch rlineto 0 rlineto closepath } bind def /dsq { sq s } bind def /fsq { sq f } bind def /osq { sq o } bind def % Triangle symbols /t1 { moveto dup 0 exch rmoveto dup neg dup 2 mul rlineto 2 mul 0 rlineto closepath } bind def /dt1 { t1 s } bind def /ft1 { t1 f } bind def /ot1 { t1 o } bind def /t2 { moveto dup neg 0 rmoveto dup dup 2 mul exch neg rlineto 2 mul 0 exch rlineto closepath } bind def /dt2 { t2 s } bind def /ft2 { t2 f } bind def /ot2 { t2 o } bind def /t3 { moveto dup neg 0 exch rmoveto dup dup 2 mul rlineto neg 2 mul 0 rlineto closepath } bind def /dt3 { t3 s } bind def /ft3 { t3 f } bind def /ot3 { t3 o } bind def /t4 { moveto dup 0 rmoveto dup dup -2 mul exch rlineto -2 mul 0 exch rlineto closepath } bind def /dt4 { t4 s } bind def /ft4 { t4 f } bind def /ot4 { t4 o } bind def % Diamond symbol /di { moveto dup 0 exch rmoveto dup neg dup rlineto dup dup neg rlineto dup dup rlineto closepath } bind def /ddi { di s } bind def /fdi { di f } bind def /odi { di o } bind def % Plus symbol /pl { dup 0 rmoveto dup -2 mul 0 rlineto dup dup rmoveto -2 mul 0 exch rlineto } bind def /dpl { m pl s } bind def % x symbol /x { dup dup rmoveto dup -2 mul dup rlineto 2 mul dup 0 rmoveto dup neg exch rlineto } bind def /dx { m x s } bind def % Splat symbol /dsp { m dup pl dup 0 exch rmoveto 0.707 mul x s } bind def /RJ { stringwidth neg exch neg exch rmoveto } bind def /CS { stringwidth 2 div neg exch 2 div neg exch rmoveto } bind def 0.24 0.24 scale 1 setlinecap mark /ISOLatin1Encoding 8#000 1 8#054 {StandardEncoding exch get} for /minus 8#056 1 8#217 {StandardEncoding exch get} for /dotlessi 8#301 1 8#317 {StandardEncoding exch get} for /space /exclamdown /cent /sterling /currency /yen /brokenbar /section /dieresis /copyright /ordfeminine /guillemotleft /logicalnot /hyphen /registered /macron /degree /plusminus /twosuperior /threesuperior /acute /mu /paragraph /periodcentered /cedilla /onesuperior /ordmasculine /guillemotright /onequarter /onehalf /threequarters /questiondown /Agrave /Aacute /Acircumflex /Atilde /Adieresis /Aring /AE /Ccedilla /Egrave /Eacute /Ecircumflex /Edieresis /Igrave /Iacute /Icircumflex /Idieresis /Eth /Ntilde /Ograve /Oacute /Ocircumflex /Otilde /Odieresis /multiply /Oslash /Ugrave /Uacute /Ucircumflex /Udieresis /Yacute /Thorn /germandbls /agrave /aacute /acircumflex /atilde /adieresis /aring /ae /ccedilla /egrave /eacute /ecircumflex /edieresis /igrave /iacute /icircumflex /idieresis /eth /ntilde /ograve /oacute /ocircumflex /otilde /odieresis /divide /oslash /ugrave /uacute /ucircumflex /udieresis /yacute /thorn /ydieresis /ISOLatin1Encoding where not {256 array astore def} if cleartomark /makeISOEncoded { findfont /curfont exch def /newfont curfont maxlength dict def /ISOLatin1 (-ISOLatin1) def /curfontname curfont /FontName get dup length string cvs def /newfontname curfontname length ISOLatin1 length add string dup 0 curfontname putinterval dup curfontname length ISOLatin1 putinterval def curfont { exch dup /FID ne { dup /Encoding eq { exch pop ISOLatin1Encoding exch } if dup /FontName eq { exch pop newfontname exch } if exch newfont 3 1 roll put } { pop pop } ifelse } forall newfontname newfont definefont } def /Times-Roman makeISOEncoded pop /Times-Bold makeISOEncoded pop /Times-Italic makeISOEncoded pop /Times-BoldItalic makeISOEncoded pop /Helvetica makeISOEncoded pop /Helvetica-Bold makeISOEncoded pop /Helvetica-Oblique makeISOEncoded pop /Helvetica-BoldOblique makeISOEncoded pop 2550 0 translate 90 rotate s 0.000000 0.000000 0.000000 setrgbcolor 1 setlinewidth /Times-Italic-ISOLatin1 findfont 60 scalefont setfont [] 0 setdash 547 434 m 547 444 l 823 434 m 823 444 l 1098 434 m 1098 444 l 1374 434 m 1374 444 l 1649 434 m 1649 444 l 1925 434 m 1925 444 l 2201 434 m 2201 444 l 2476 434 m 2476 444 l 2752 434 m 2752 444 l 547 2114 m 547 2104 l 823 2114 m 823 2104 l 1098 2114 m 1098 2104 l 1374 2114 m 1374 2104 l 1649 2114 m 1649 2104 l 1925 2114 m 1925 2104 l 2201 2114 m 2201 2104 l 2476 2114 m 2476 2104 l 2752 2114 m 2752 2104 l s 547 434 m 547 454 l 1098 434 m 1098 454 l 1649 434 m 1649 454 l 2201 434 m 2201 454 l 2752 434 m 2752 454 l 547 2114 m 547 2094 l 1098 2114 m 1098 2094 l 1649 2114 m 1649 2094 l 2201 2114 m 2201 2094 l 2752 2114 m 2752 2094 l /Times-Italic-ISOLatin1 findfont 83 scalefont setfont /Helvetica-ISOLatin1 findfont 83 scalefont setfont s 547 364 m gsave 547 364 translate 0 rotate 0 -27 m (0) CS (0) show grestore newpath 1098 364 m gsave 1098 364 translate 0 rotate 0 -27 m (2) CS (2) show grestore newpath 1649 364 m gsave 1649 364 translate 0 rotate 0 -27 m (4) CS (4) show grestore newpath 2201 364 m gsave 2201 364 translate 0 rotate 0 -27 m (6) CS (6) show grestore newpath 2752 364 m gsave 2752 364 translate 0 rotate 0 -27 m (8) CS (8) show grestore newpath /Helvetica-ISOLatin1 findfont 107 scalefont setfont 1649 224 m gsave 1649 224 translate 0 rotate 0 0 m (r) CS (r) show grestore newpath 547 434 m 557 434 l 547 602 m 557 602 l 547 770 m 557 770 l 547 938 m 557 938 l 547 1106 m 557 1106 l 547 1274 m 557 1274 l 547 1442 m 557 1442 l 547 1610 m 557 1610 l 547 1778 m 557 1778 l 547 1946 m 557 1946 l 547 2114 m 557 2114 l 2752 434 m 2742 434 l 2752 602 m 2742 602 l 2752 770 m 2742 770 l 2752 938 m 2742 938 l 2752 1106 m 2742 1106 l 2752 1274 m 2742 1274 l 2752 1442 m 2742 1442 l 2752 1610 m 2742 1610 l 2752 1778 m 2742 1778 l 2752 1946 m 2742 1946 l 2752 2114 m 2742 2114 l s 547 434 m 567 434 l 547 770 m 567 770 l 547 1106 m 567 1106 l 547 1442 m 567 1442 l 547 1778 m 567 1778 l 547 2114 m 567 2114 l 2752 434 m 2732 434 l 2752 770 m 2732 770 l 2752 1106 m 2732 1106 l 2752 1442 m 2732 1442 l 2752 1778 m 2732 1778 l 2752 2114 m 2732 2114 l /Helvetica-ISOLatin1 findfont 83 scalefont setfont s 493 434 m gsave 493 434 translate 0 rotate 0 -27 m (-0.75) RJ (-0.75) show grestore newpath 493 770 m gsave 493 770 translate 0 rotate 0 -27 m (-0.5) RJ (-0.5) show grestore newpath 493 1106 m gsave 493 1106 translate 0 rotate 0 -27 m (-0.25) RJ (-0.25) show grestore newpath 493 1442 m gsave 493 1442 translate 0 rotate 0 -27 m (0) RJ (0) show grestore newpath 493 1778 m gsave 493 1778 translate 0 rotate 0 -27 m (0.25) RJ (0.25) show grestore newpath 493 2114 m gsave 493 2114 translate 0 rotate 0 -27 m (0.5) RJ (0.5) show grestore newpath /Helvetica-ISOLatin1 findfont 107 scalefont setfont 168 1274 m gsave 168 1274 translate 90 rotate 0 0 m (V\(r\)) CS (V\(r\)) show grestore newpath /Helvetica-ISOLatin1 findfont 113 scalefont setfont 1649 2327 m gsave 1649 2327 translate 0 rotate 0 0 m (Heavy Quark Potential) CS (Heavy Quark Potential) show grestore newpath /Helvetica-ISOLatin1 findfont 73 scalefont setfont 1649 2175 m gsave 1649 2175 translate 0 rotate 0 0 m (16x16x16x32, beta=0.80, HMC_2-3, conf #190-239) CS (16x16x16x32, beta=0.80, HMC_2-3, conf #190-239) show grestore newpath 5 setlinewidth 933 769 m 970 814 l 1007 854 l 1044 890 l 1082 924 l 1119 955 l 1156 983 l 1193 1011 l 1230 1036 l 1268 1061 l 1305 1085 l 1342 1107 l 1379 1130 l 1416 1151 l 1453 1172 l 1491 1192 l 1528 1212 l 1565 1231 l 1602 1251 l 1639 1269 l 1677 1288 l 1714 1306 l 1751 1324 l 1788 1342 l 1825 1360 l 1862 1377 l 1900 1395 l 1937 1412 l 1974 1429 l 2011 1446 l 2048 1462 l 2085 1479 l 2123 1496 l 2160 1512 l 2197 1528 l 2234 1545 l 2271 1561 l 2309 1577 l 2346 1593 l 2383 1609 l 2420 1625 l 2457 1641 l 2494 1657 l s 1 setlinewidth 1.000000 0.000000 0.000000 setrgbcolor 3 setlinewidth [] 0 setdash 547 1 m 823 594 m 823 594 l 937 772 m 937 775 l 1024 870 m 1024 875 l 1098 943 m 1098 948 l 1163 982 m 1163 986 l 1222 1026 m 1222 1033 l 1327 1081 m 1327 1091 l 1374 1121 m 1374 1133 l 1502 1184 m 1502 1214 l 1374 1127 m 1374 1138 l 1419 1151 m 1419 1159 l 1461 1174 m 1461 1189 l 1541 1210 m 1541 1222 l 1578 1232 m 1578 1247 l 1683 1279 m 1683 1312 l 1716 1283 m 1716 1306 l 1748 1332 m 1748 1370 l 1840 1349 m 1840 1390 l 1979 1434 m 1979 1514 l 1649 1275 m 1649 1301 l 1683 1291 m 1683 1309 l 1716 1292 m 1716 1321 l 1780 1336 m 1780 1359 l 1810 1342 m 1810 1370 l 1897 1351 m 1897 1390 l 1925 1371 m 1925 1402 l 1952 1392 m 1952 1436 l 2031 1417 m 2031 1466 l 2154 1406 m 2154 1495 l 2106 1405 m 2106 1467 l 2130 1409 m 2130 1489 l 2201 1480 m 2201 1590 l 2312 1453 m 2312 1600 l 2457 1396 m 2457 1739 l 1925 1360 m 1925 1411 l 1952 1368 m 1952 1409 l 1979 1386 m 1979 1438 l 2031 1432 m 2031 1479 l 2057 1442 m 2057 1493 l 2130 1464 m 2130 1546 l 2154 1474 m 2154 1534 l 2178 1484 m 2178 1557 l 2246 1480 m 2246 1578 l 2354 1439 m 2354 1573 l 2312 1531 m 2312 1611 l 2333 1556 m 2333 1639 l 2396 1534 m 2396 1672 l 2496 1521 m 2496 1681 l 2628 1316 m 2628 1566 l 2496 1503 m 2496 1685 l 2515 1594 m 2515 1803 l 2572 1579 m 2572 1828 l 2664 1605 m 2664 1937 l 2786 1142 m 2934 1081 m 2201 1547 m 2201 1638 l 2224 1544 m 2224 1603 l 2246 1573 m 2246 1693 l 2290 1582 m 2290 1684 l 2312 1581 m 2312 1683 l 2375 1546 m 2375 1710 l 2396 1593 m 2396 1720 l 2416 1629 m 2416 1745 l 2476 1620 m 2476 1755 l 2572 1543 m 2572 1790 l 2535 1572 m 2535 1734 l 2554 1696 m 2554 1881 l 2610 1624 m 2610 1802 l 2700 1539 m 2700 1840 l 2820 1318 m 2700 1447 m 2700 1682 l 2717 1766 m 2717 2013 l 2769 1563 m 2853 1653 m 2966 1812 m 3103 1519 m 2886 1442 m 2902 1656 m 2950 1650 m 3028 1331 m 3133 1342 m 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