Induced Chern-Simons term in lattice QCD at finite temperature

TL;DR

This paper investigates how a Chern-Simons term can be induced in finite temperature lattice QCD, analyzing its dependence on various nonuniversal parameters and the role of $A_0$-condensate.

Contribution

It formulates conditions for the induced Chern-Simons action in finite temperature lattice QCD and examines its dependence on parameters like chemical potentials and condensates.

Findings

Chern-Simons term can be induced as a fermionic determinant contribution.

The coefficient of the Chern-Simons action depends on nonuniversal parameters.

The role of $A_0$-condensate in the induction process is clarified.

Abstract

The general conditions for the Chern-Simons action to be induced as a nonuniversal contribution of fermionic determinant are formulated in the finite temperature lattice QCD. The dependence of the corresponding action coefficient on nonuniversal parameters (chemical potentials, vacuum features, etc. ) is explored. Special attention is paid to the role of $A_0$-condensate if it is available in this theory.