English

Chiral symmetry breaking at large N_c

High Energy Physics - Lattice 2010-04-05 v3 High Energy Physics - Phenomenology High Energy Physics - Theory

Abstract

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.

Keywords

Cite

@article{arxiv.hep-lat/0405025,
  title  = {Chiral symmetry breaking at large N_c},
  author = {R. Narayanan and H. Neuberger},
  journal= {arXiv preprint arXiv:hep-lat/0405025},
  year   = {2010}
}

Comments

43 pages, 16 figures, 1 table, more typos corrected