Topological and magnetic properties of the QCD vacuum probed by overlap fermions

Abstract

We study some of the local CP-odd and magnetic properties of the non-Abelian vacuum with use of overlap fermions within the quenched lattice gauge theory. Among these properties are the following: inhomogeneous spatial distribution of the topological charge density (chirality for massless fermions) in SU(2) gluodynamics (for uncooled gauge configurations the chirality is localized on low-dimensional defects with d=2..3, while a sequence of cooling steps gives rise to four-dimensional instantons and hence a four-dimensional structure of the chirality distribution); finite local fluctuations of the chirality growing with the strength of an external magnetic field; magnetization and susceptibility of the QCD vacuum in SU(3) theory; magnetic catalysis of the chiral symmetry breaking, and the electric conductivity of the QCD vacuum in strong magnetic fields.

8 pages, Proceedings to the conference "Xth Quark Confinement and the Hadron Spectrum", October 8-12, 2012, TUM Campus Garching, Munich, Germany

References in corpus (8)

• The Chiral Magnetic Effect
• Chiral Properties of Strong Interactions in a Magnetic Background
• Magnetic-Field-Induced insulator-conductor transition in SU(2) quenched lattice gauge theory
• Chiral magnetic effect in lattice QCD with a chiral chemical potential
• Exploring the structure of the quenched QCD vacuum with overlap fermions
• Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models
• Holography and Anomaly Matching for Resonances
• Quark mass dependence of the vacuum electric conductivity induced by the magnetic field in SU(2) lattice gluodynamics