Direct construction of the effective action of chiral gauge fermions in the anomalous sector

Details Direct construction of the effective action of chiral gauge fermions in the anomalous sector Direct construction of the effective action of chiral gauge fermions in the anomalous sector

2008-04-14

arxiv.org/abs/0804.2118v2

Eur.Phys.J.C60:387-402,2009

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, revtex, no figures. Writing improved. (Refers to arXiv:0807.1696.)

Scientific paper

10.1140/epjc/s10052-009-0923-4

The anomaly implies an obstruction to a fully chiral covariant calculation of the effective action in the abnormal parity sector of chiral theories. The standard approach then is to reconstruct the anomalous effective action from its covariant current. In this work we use a recently introduced formulation which allows to directly construct the non trivial chiral invariant part of the effective action within a fully covariant formalism. To this end we develop an appropriate version of Chan's approach to carry out the calculation within the derivative expansion. The result to four derivatives, i.e., to leading order in two and four dimensions and next-to-leading order in two dimensions, is explicitly worked out. Fairly compact expressions are found for these terms.

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