Quark propagator in the Landau gauge

被引:62
作者
Skullerud, JI [1 ]
Williams, AG
机构
[1] Univ Adelaide, CSSM, Adelaide, SA 5005, Australia
[2] Univ Adelaide, Dept Phys & Math Phys, Adelaide, SA 5005, Australia
[3] DESY, Theory Grp, D-22603 Hamburg, Germany
关键词
D O I
10.1103/PhysRevD.63.054508
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The Landau gauge quark propagator in momentum space is investigated using the O(a)-improved Sheikholeslami-Wohlert quark action with a tree-level mean-field improved coefficient c(sw). We study the unimproved definition of the quark propagator, as well as two different tree-level O(a)-improved propagators. The ultraviolet behavior of the free lattice propagator is studied for each of these in order to establish which of them provides the most reliable description of the quark propagator up to the medium momentum regime. A general method of tree-level correction is introduced. This exploits asymptotic freedom and removes much of the trivial lattice artifacts at medium to high momenta. We obtain results for the quark propagator which are qualitatively similar to those typically used in quark models. A simple extrapolation of the infrared quark mass M(p(2) = 0) to the chiral limit gives 298 +/- 8 +/- 30 MeV, which is consistent with phenomenological expectations.
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页数:13
相关论文
共 26 条
[1]   Nonperturbative determination of quark masses in quenched lattice QCD with the Kogut-Susskind fermion action [J].
Aoki, S ;
Fukugita, M ;
Hashimoto, S ;
Ishikawa, KI ;
Ishizuka, N ;
Iwasaki, U ;
Kanaya, K ;
Kaneda, T ;
Kaya, S ;
Kuramashi, Y ;
Okawa, M ;
Onogi, T ;
Tominaga, S ;
Tsutsui, N ;
Ukawa, A ;
Yamada, N ;
Yoshié, T .
PHYSICAL REVIEW LETTERS, 1999, 82 (22) :4392-4395
[2]   Quark masses and renormalization constants from quark propagator and 3-point functions [J].
Becirevic, D ;
Lubicz, V ;
Martinelli, G ;
Testa, M .
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2000, 83-4 :863-865
[3]   Light quark masses from lattice quark propagators at large momenta -: art. no. 114507 [J].
Becirevic, D ;
Giménez, V ;
Lubicz, V ;
Martinelli, G .
PHYSICAL REVIEW D, 2000, 61 (11)
[4]   Improved Landau gauge fixing and discretisation errors [J].
Bonnet, FDR ;
Bowman, PO ;
Leinweber, DB ;
Richards, DG ;
Williams, AG .
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2000, 83-4 :905-907
[5]   Infrared behavior of the gluon propagator on a large volume lattice [J].
Bonnet, FDR ;
Bowman, PO ;
Leinweber, DB ;
Williams, AG .
PHYSICAL REVIEW D, 2000, 62 (05) :1-4
[6]  
Bowler KC, 2000, PHYS REV D, V62, DOI 10.1103/PhysRevD.62.054506
[7]   SINGULARITY STRUCTURE OF A MODEL QUARK PROPAGATOR [J].
BURDEN, CJ ;
ROBERTS, CD ;
WILLIAMS, AG .
PHYSICS LETTERS B, 1992, 285 (04) :347-353
[8]   Renormalisation and off-shell improvement in lattice perturbation theory [J].
Capitani, S ;
Göckeler, M ;
Horsley, R ;
Perlt, H ;
Rakow, PEL ;
Schierholz, G ;
Schiller, A .
NUCLEAR PHYSICS B, 2001, 593 (1-2) :183-228
[9]   Non-perturbative improvement and renormalization of lattice operators [J].
Capitani, S ;
Gockeler, M ;
Horsley, R ;
Oelrich, H ;
Perlt, H ;
Pleiter, D ;
Rakow, PEL ;
Schierholz, G ;
Schiller, A ;
Stephenson, P .
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 1998, 63 :871-873
[10]   FREE FERMION PROPAGATORS AND LATTICE FINITE-SIZE EFFECTS [J].
CARPENTER, DB ;
BAILLIE, CF .
NUCLEAR PHYSICS B, 1985, 260 (01) :103-112