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Particles and Fields

Eur. Phys. J. C 20, 161-184
DOI: 10.1007/s100520100641

Derivative expansion for the effective action of chiral gauge fermions. The abnormal parity component

L.L. Salcedo

Departamento de Física Moderna, Universidad de Granada, 18071 Granada, Spain

(Received: 31 January 2001 / Published online: 12 April 2001 -© Springer-Verlag 2001)

Explicit exact formulas are presented, for the leading order term in a strict chiral covariant derivative expansion, for the abnormal parity component of the effective action of two- and four-dimensional Dirac fermions in the presence of scalar, pseudo-scalar, vector and axial vector background fields. The formulas hold for completely general internal symmetry groups and general configurations. In particular, the scalar and pseudo-scalar fields need not be on the chiral circle.

© Società Italiana di Fisica, Springer-Verlag 2001