Chiral symmetry breaking at large N_c

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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

Scientific paper

10.1016/j.nuclphysb.2004.07.002

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.

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