Spontaneous chiral symmetry breaking on the lattice

Details Spontaneous chiral symmetry breaking on the lattice Spontaneous chiral symmetry breaking on the lattice

2009-12-29

arxiv.org/abs/0912.5254v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages. Invited talk at the 6th International Workshop on Chiral Dynamics, Bern, Switzerland, July 6-10, 2009

Scientific paper

Using lattice QCD we study the spectrum of low-lying fermion eigenmodes. According to the Banks-Casher relation, accumulation of the low-mode is responsible for the spontaneous breaking of chiral symmetry in the QCD vacuum. On the lattice we use the overlap fermion formulation that preserves exact chiral symmetry. This is essential for the study of low-lying eigenmode distributions. Through a detailed comparison with the expectations from chiral perturbation theory beyond the leading order, we confirm the senario of the spontaneous symmetry breaking and determine some of the low energy constants. We also discuss on other related physical quantities, which can be studied on the lattice with exact chiral symmetry.

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