Strong-coupling study of the Gribov ambiguity in lattice Landau gauge

被引:39
作者
Maas, Axel [1 ]
Pawlowski, Jan M. [2 ,3 ]
Spielmann, Daniel [2 ,3 ]
Sternbeck, Andre [4 ,5 ]
von Smekal, Lorenz [6 ]
机构
[1] Karl Franzens Univ Graz, Inst Phys, A-8010 Graz, Austria
[2] Heidelberg Univ, Inst Theoret Phys, D-69120 Heidelberg, Germany
[3] GSI Helmholtzzentrum Schwerionenforsch, ExtreMe Matter Inst EMMI, D-64291 Darmstadt, Germany
[4] Univ Adelaide, Ctr Subatom Struct Matter, Adelaide, SA 5005, Australia
[5] Univ Regensburg, Inst Theoret Phys, D-93040 Regensburg, Germany
[6] Tech Univ Darmstadt, Inst Kernphys, D-64289 Darmstadt, Germany
来源
EUROPEAN PHYSICAL JOURNAL C | 2010年 / 68卷 / 1-2期
基金
澳大利亚研究理事会;
关键词
YANG-MILLS THEORY; DYSON-SCHWINGER EQUATIONS; INFRARED BEHAVIOR; GLUON PROPAGATOR; GHOST PROPAGATORS; QCD; CONFINEMENT; GLUODYNAMICS; QUANTIZATION; COPIES;
D O I
10.1140/epjc/s10052-010-1306-6
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We study the strong-coupling limit beta = 0 of lattice SU(2) Landau gauge Yang-Mills theory. In this limit the lattice spacing is infinite, and thus all momenta in physical units are infinitesimally small. Hence, the infrared behavior can be assessed at sufficiently large lattice momenta. Our results show that at the lattice volumes used here, the Gribov ambiguity has an enormous effect on the ghost propagator in all dimensions. This underlines the severity of the Gribov problem and calls for refined studies also at finite beta. In turn, the gluon propagator only mildly depends on the Gribov ambiguity.
引用
收藏
页码:183 / 195
页数:13
相关论文
共 68 条
  • [1] Nonperturbative comparison of QCD effective charges
    Aguilar, A. C.
    Binosi, D.
    Papavassiliou, J.
    Rodriguez-Quintero, J.
    [J]. PHYSICAL REVIEW D, 2009, 80 (08):
  • [2] Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
    Aguilar, A. C.
    Binosi, D.
    Papavassiliou, J.
    [J]. PHYSICAL REVIEW D, 2008, 78 (02):
  • [3] Aguilar A.C., 2008, PROC SCI LC2008
  • [4] Aguilar AC, 2004, J HIGH ENERGY PHYS
  • [5] Quark confinement: the hard problem of hadron physics
    Alkofer, R.
    Greensite, J.
    [J]. JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS, 2007, 34 (07) : S3 - S21
  • [6] Vertex functions and infrared fixed point in Landau gauge SU(N) Yang-Mills theory
    Alkofer, R
    Fischer, CS
    Llanes-Estrada, FJ
    [J]. PHYSICS LETTERS B, 2005, 611 (3-4) : 279 - 288
  • [7] Analytic properties of the Landau gauge gluon and quark propagators
    Alkofer, R
    Detmold, W
    Fischer, CS
    Maris, P
    [J]. PHYSICAL REVIEW D, 2004, 70 (01): : 014014 - 1
  • [8] The infrared behaviour of QCD Green's functions - Confinement, dynamical symmetry breaking, and hadrons as relativistic bound states
    Alkofer, R
    von Smekal, L
    [J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2001, 353 (5-6): : 281 - 465
  • [9] Alkofer R, 2001, NUCL PHYS A, V680, p133C, DOI 10.1016/S0375-9474(00)00402-4
  • [10] Practical problems to compute the ghost propagator in SU(2) lattice gauge theory -: art. no. 074507
    Bakeev, T
    Ilgenfritz, EM
    Müller-Preussker, M
    Mitrjushkin, VK
    [J]. PHYSICAL REVIEW D, 2004, 69 (07): : 8