The induced Chern-Simons term at finite temperature

Abstract

It is argued that the derivative expansion is a suitable method to deal with finite temperature field theory, if it is restricted to spatial derivatives only. Using this method, a simple and direct calculation is presented for the radiatively induced Chern-Simons--like piece of the effective action of (2+1)-dimensional fermions at finite temperature coupled to external gauge fields. The gauge fields are not assumed to be subjected to special constraints, and in particular, they are not required to be stationary nor Abelian.

5 pages, REVTEX, no figures

References in corpus (3)

• Derivative expansion for the effective action of chiral gauge fermions. The abnormal parity component
• Gauge invariant derivative expansion of the effective action at finite temperature and density and the scalar field in 2+1 dimensions
• The induced Chern-Simons term at finite temperature

Cited by in corpus (8)

• Polyakov loop in chiral quark models at finite temperature
• The thermal heat kernel expansion and the one-loop effective action of QCD at finite temperature
• The Polyakov loop and the heat kernel expansion at finite temperature
• Derivative expansion of the heat kernel at finite temperature
• The method of covariant symbols in curved space-time
• The induced Chern-Simons term at finite temperature
• Large Gauge Invariance in NonAbelian Finite Temperature Effective Actions
• Hopf symmetry protected topological phases in the vicinity of spin orders