Chiral symmetry breaking and topology for all N

Details Chiral symmetry breaking and topology for all N Chiral symmetry breaking and topology for all N

2003-09-03

arxiv.org/abs/hep-lat/0309011v1

Physics

High Energy Physics

High Energy Physics - Lattice

Talk at Lattice 2003 (chiral); 3 pages, 2 figures, espcrc2.sty

Scientific paper

10.1016/S0920-5632(03)02618-5

We investigate spontaneous chiral symmetry breaking in SU(N) gauge theories at large N using overlap fermions. The exact zero modes and the low-lying modes of the Dirac operator provide the tools to gain insight into the interplay between chiral symmetry breaking and topology. We find that topology indeed drives chiral symmetry breaking at N=3 as well as at large N. By comparing the results on various volumes and at different lattice spacings we are able to show that our conclusions are not affected by finite volume effects and also hold in the continuum limit. We then address the question whether the topology can be usefully described in terms of instantons.

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