Chiral symmetry breaking at large Nc

被引:42
作者
Narayanan, R [1 ]
Neuberger, H
机构
[1] Florida Int Univ, Dept Phys, Miami, FL 33199 USA
[2] Rutgers State Univ, Dept Phys & Astron, Piscataway, NJ 08855 USA
基金
美国国家科学基金会;
关键词
D O I
10.1016/j.nuclphysb.2004.07.002
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 present numerical evidence for the hypothesis that, in the planar limit, four-dimensional Euclidean Yang-Mills theory on a finite symmetrical four-torus breaks chiral symmetry spontaneously when the length of the sides l is larger than a critical value l(c) with a bilinear condensate whose value is independent of l. Therefore spontaneous symmetry breaking occurs at finite volume and infinite N-c reduction holds for the chiral condensate. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:107 / 140
页数:34
相关论文
共 44 条
[1]   Distributions of Dirac operator eigenvalues [J].
Akemann, G ;
Damgaard, PH .
PHYSICS LETTERS B, 2004, 583 (1-2) :199-206
[2]   Λ-parameter of lattice QCD with the overlap-Dirac operator [J].
Alexandrou, C ;
Panagopoulos, H ;
Vicari, E .
NUCLEAR PHYSICS B, 2000, 571 (1-2) :257-266
[3]   CHIRAL SYMMETRY-BREAKING IN CONFINING THEORIES [J].
BANKS, T ;
CASHER, A .
NUCLEAR PHYSICS B, 1980, 169 (1-2) :103-125
[4]  
BECIREVIC D, HEPPH0403044
[5]   CHIRAL PERTURBATION-THEORY FOR THE QUENCHED APPROXIMATION OF QCD [J].
BERNARD, CW ;
GOLTERMAN, MFL .
PHYSICAL REVIEW D, 1992, 46 (02) :853-857
[6]   Chiral condensate and short-time evolution of (1+1)-dimensional QCD on the light cone [J].
Burkardt, M ;
Lenz, F ;
Thies, M .
PHYSICAL REVIEW D, 2002, 65 (12)
[7]   Note on the Zolotarev optimal rational approximation for the overlap Dirac operator [J].
Chiu, TW ;
Hsieh, TH ;
Huang, CH ;
Huang, TR .
PHYSICAL REVIEW D, 2002, 66 (11)
[8]   Neuberger's double-pass algorithm [J].
Chiu, TW ;
Hsieh, TH .
PHYSICAL REVIEW E, 2003, 68 (06)
[9]   The microscopic spectral density of the QCD Dirac operator [J].
Damgaard, PH ;
Osborn, JC ;
Toublan, D ;
Verbaarschot, JJM .
NUCLEAR PHYSICS B, 1999, 547 (1-2) :305-328
[10]   Partially quenched chiral perturbation theory and the replica method [J].
Damgaard, PH ;
Splittorff, K .
PHYSICAL REVIEW D, 2000, 62 (05) :1-7