Chiral Symmetry Breaking from Center Vortices

Abstract

We analyze the creation of near-zero modes from would-be zero modes of various topological charge contributions from classical center vortices in SU(2) lattice gauge theory. We show that colorful spherical vortex and instanton configurations have very similar Dirac eigenmodes and also vortex intersections are able to give rise to a finite density of near-zero modes, leading to chiral symmetry breaking via the Banks-Casher formula. We discuss the influence of the magnetic vortex fluxes on quarks and how center vortices may break chiral symmetry.

Comments: Prepared for the 31st International Symposium on Lattice Field Theory - LATTICE 2013, July 29 - August 3 in Mainz, Germany