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

Abstract

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.

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

References in corpus (5)

• Sizable CP Violation in the Bosonized Standard Model
• Derivative expansion of the heat kernel in curved space
• The method of covariant symbols in curved space-time
• Effective Action in a General Chiral Model: Next to Leading Order Derivative Expansion in the Worldline Method
• The invariant factor of the chiral determinant

Cited by in corpus (3)

• CP violation in the effective action of the Standard Model
• Renormalization of vector fields with mass-like coupling in curved spacetime
• Leptonic CP violating effective action for Dirac and Majorana neutrinos