Spontaneous chiral symmetry breaking on the lattice

Abstract

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.

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

References in corpus (11)

• Nucleon sigma term and strange quark content from lattice QCD with exact chiral symmetry
• Finite volume QCD at fixed topological charge
• Lattice gauge action suppressing near-zero modes of H_W
• Two-flavor lattice QCD simulation in the epsilon-regime with exact chiral symmetry
• Two-flavor QCD simulation with exact chiral symmetry
• Topological susceptibility in two-flavor lattice QCD with exact chiral symmetry
• S-parameter and pseudo-Nambu-Goldstone boson mass from lattice QCD
• Determination of the chiral condensate from 2+1-flavor lattice QCD
• Lattice study of meson correlators in the epsilon-regime of two-flavor QCD
• Non-perturbative renormalization of bilinear operators with dynamical overlap fermions
• Light meson spectrum with $N_f=2$ dynamical overlap fermions

Cited by in corpus (1)

• Technicolor and other QCD-like theories at next-to-next-to-leading order