Polyakov loop and its relation to static quark potentials and free energies

被引:62
作者
Jahn, O [1 ]
Philipsen, O
机构
[1] MIT, Ctr Theoret Phys, Cambridge, MA 02139 USA
[2] Univ Sussex, Dept Phys & Astron, Brighton BN1 9QH, E Sussex, England
来源
PHYSICAL REVIEW D | 2004年 / 70卷 / 07期
关键词
D O I
10.1103/PhysRevD.70.074504
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
It appears well accepted in the literature that the correlator of Polyakov loops in a finite temperature system decays with the average free energy of the static quark-antiquark system and can be decomposed into singlet and adjoint (or octet for QCD) contributions. By fixing a gauge respecting the transfer matrix, attempts have been made to extract those contributions separately. In this paper we point out that the average and adjoint channels of Polyakov loop correlators are misconceptions. We show analytically that all channels receive contributions from singlet states only, and give a corrected definition of the singlet free energy. We verify this finding by simulations of the 3D SU(2) pure gauge theory in the zero-temperature limit, which allows one to cleanly extract the ground state exponents and the nontrivial matrix elements. The latter account for the difference between the channels observed in previous simulations.
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页数:7
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共 26 条
[1]   QCD phenomenology of static sources and gluonic excitations at short distances [J].
Bali, GS ;
Pineda, A .
PHYSICAL REVIEW D, 2004, 69 (09) :28
[2]   On the gauge dependence of the singlet and adjoint potentials [J].
Belavin, VA ;
Bornyakov, VG ;
Mitrjushkin, VK .
PHYSICS LETTERS B, 2004, 579 (1-2) :109-112
[3]   RIGOROUS QCD ANALYSIS OF INCLUSIVE ANNIHILATION AND PRODUCTION OF HEAVY QUARKONIUM [J].
BODWIN, GT ;
BRAATEN, E ;
LEPAGE, GP .
PHYSICAL REVIEW D, 1995, 51 (03) :1125-1171
[4]   Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium (vol 51, pg 1125, 1995) [J].
Bodwin, GT ;
Braaten, E ;
Lepage, GP .
PHYSICAL REVIEW D, 1997, 55 (09) :5853-5854
[5]   Potential NRQCD: an effective theory for heavy quarkonium [J].
Brambilla, N ;
Pineda, A ;
Soto, J ;
Vairo, A .
NUCLEAR PHYSICS B, 2000, 566 (1-2) :275-310
[6]   REMARKS ON THE STATIC POTENTIAL IN QUANTUM CHROMODYNAMICS [J].
BROWN, LS ;
WEISBERGER, WI .
PHYSICAL REVIEW D, 1979, 20 (12) :3239-3245
[7]   Color-octet quarkonia production [J].
Cho, P ;
Leibovich, AK .
PHYSICAL REVIEW D, 1996, 53 (01) :150-162
[8]   GAUGE FIXING, TRANSFER-MATRIX, AND CONFINEMENT ON A LATTICE [J].
CREUTZ, M .
PHYSICAL REVIEW D, 1977, 15 (04) :1128-1136
[9]   Dimensional reduction and screening masses in pure gauge theories at finite temperature [J].
Datta, S ;
Gupta, S .
NUCLEAR PHYSICS B, 1998, 534 (1-2) :392-416
[10]   Adjoint string breaking in 4d SU(2) Yang-Mills theory [J].
de Forcrand, P ;
Philipsen, O .
PHYSICS LETTERS B, 2000, 475 (3-4) :280-288