Instanton fermionic zero mode at finite temperature and chemical potential

Abstract

In QCD the spontaneous breaking of chiral symmetry and the U(1) axial anomaly can be understood considering instantons as the gauge configurations mediating quark-quark interaction. The existence of an exact zero mode solution of the Dirac equation in the field of a single instanton is the fundamental ingredient of this analysis. Explicit expressions for psi_0 are available for T different from 0 and mu=0, and mu different from 0 and T=0. In this paper we derive the solution for the most general case T different from 0 and mu different from 0. This new result opens the possibility of investigating the QCD dynamics associated with instantons in the full phase diagram. As a first step in this direction we will study the dependence of the instanton density from the thermodynamic coordinates.

12 pages, 4 figures, Final version, accepted for publication on Phys. Rev. D

References in corpus (3)

• The topological susceptibility from grand canonical simulations in the interacting instanton liquid model: chiral phase transition and axion mass
• Exploring the Chiral Regime of QCD in the Interacting Instanton Liquid Model
• Instantons, Chiral Dynamics and Hadronic Resonances

Cited by in corpus (1)

• Topological zero modes at nonzero chemical potential