Temperature dependence of the anomalous effective action of fermions in two and four dimensions

Abstract

The temperature dependence of the anomalous sector of the effective action of fermions coupled to external gauge and pseudo-scalar fields is computed at leading order in an expansion in the number of Lorentz indices in two and four dimensions. The calculation preserves chiral symmetry and confirms that a temperature dependence is compatible with axial anomaly saturation. The result checks soft-pions theorems at zero temperature as well as recent results in the literature for the pionic decay amplitude into static photons in the chirally symmetric phase. The case of chiral fermions is also considered.

RevTex, 19 pages, no figures. References added

References in corpus (4)

• Gauge Invariance, Finite Temperature and Parity Anomaly in D=3
• How pi0 -> gamma gamma changes with temperature
• Parity breaking in 2+1 dimensions and finite temperature
• Hard Thermal Loops and Chiral Lagrangians

Cited by in corpus (6)

• The thermal heat kernel expansion and the one-loop effective action of QCD at finite temperature
• Parity breaking in 2+1 dimensions and finite temperature
• Gauge invariant derivative expansion of the effective action at finite temperature and density and the scalar field in 2+1 dimensions
• The invariant factor of the chiral determinant
• Direct construction of the effective action of chiral gauge fermions in the anomalous sector
• Anomalous processes at high temperature and density in a 2-dimensional linear $\sigma$ model