SU(N)-gauge theories in Polyakov gauge on the torus

被引:18
|
作者
Ford, C [1 ]
Tok, T [1 ]
Wipf, A [1 ]
机构
[1] Univ Jena, Inst Phys Theor, D-07743 Jena, Germany
关键词
gauge field theory at finite temperature; gauge fixing; Abelian projection; magnetic monopoles; instanton number;
D O I
10.1016/S0370-2693(99)00464-5
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We investigate the Abelian projection with respect to the Polyakov loop operator for SU(N) gauge theories on the four torus. The gauge fixed A(0) is time-independent and diagonal. We construct fundamental domains for A(0). In sectors with non-vanishing instanton number such gauge fixings are always singular. The singularities define the positions of magnetically charged monopoles, strings or walls. These magnetic defects sit on the Gribov horizon and have quantized magnetic charges. We relate their magnetic charges to the instanton number. (C) 1999 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:155 / 161
页数:7
相关论文
共 50 条
  • [31] Topology of SU(N) lattice gauge theories coupled with ℤN 2-form gauge fields
    Motokazu Abe
    Okuto Morikawa
    Soma Onoda
    Hiroshi Suzuki
    Yuya Tanizaki
    Journal of High Energy Physics, 2023
  • [32] Finding the effective Polyakov line action for SU(3) gauge theories at finite chemical potential
    Greensite, Jeff
    Langfeld, Kurt
    PHYSICAL REVIEW D, 2014, 90 (01):
  • [33] Properties of the twisted Polyakov loop coupling and the infrared fixed point in the SU(3) gauge theories
    Itou, Etsuko
    PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS, 2013, 2013 (08):
  • [34] Gravity duals of supersymmetric SU(N) x SU(N + M) gauge theories
    Klebanov, IR
    Tseytlin, AA
    NUCLEAR PHYSICS B, 2000, 578 (1-2) : 123 - 138
  • [35] SU(N) gauge theories in four dimensions:: exploring the approach to N = ∞
    Lucini, B
    Teper, M
    JOURNAL OF HIGH ENERGY PHYSICS, 2001, (06):
  • [36] Casimir scaling and renormalization of Polyakov loops in large-N gauge theories
    Mykkanen, Anne
    Panero, Marco
    Rummukainen, Kari
    JOURNAL OF HIGH ENERGY PHYSICS, 2012, (05):
  • [37] COMPATIBILITY OF CORRELATION DYNAMICS OF SU(N) GAUGE-THEORIES AND GAUSS LAW IN TEMPORAL GAUGE
    WANG, SJ
    CASSING, W
    THOMA, MH
    PHYSICS LETTERS B, 1994, 324 (01) : 5 - 9
  • [38] Casimir scaling and renormalization of Polyakov loops in large-N gauge theories
    Anne Mykkänen
    Marco Panero
    Kari Rummukainen
    Journal of High Energy Physics, 2012
  • [39] SU(N) chiral gauge theories on the lattice:: a quick overview
    Golterman, M
    Shamir, Y
    NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2005, 140 : 671 - 673
  • [40] A SUPERSYMMETRIC INSTANTON CALCULUS FOR SU(N) GAUGE-THEORIES
    FUCHS, J
    NUCLEAR PHYSICS B, 1986, 272 (3-4) : 677 - 692