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

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

1998-07-29

arxiv.org/abs/hep-th/9807221v2

Phys.Rev. D58 (1998) 125007

Physics

High Energy Physics

High Energy Physics - Theory

RevTex, 19 pages, no figures. References added

Scientific paper

10.1103/PhysRevD.58.125007

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.

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