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arXiv:1307.1451·v1·High Energy Physics — Phenomenology

Generating functional of ChPT at one loop for non-minimal operators

A. Agadjanov (Bonn University and SANGU)🇩🇪 · D. Agadjanov (Bonn University and SANGU)🇩🇪 · A. Khelashvili (Tbilisi State University and SANGU)🇬🇪 · A. Rusetsky (Bonn University)🇩🇪

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Abstract

The divergent part of the one-loop effective action in Chiral Perturbation Theory with virtual photons has been evaluated in an arbitrary covariant gauge. The differential operator, that emerges in the functional determinant, is of a non-minimal type, for which the standard heat kernel methods are not directly applicable. Both SU(2) and SU(3) cases have been worked out. A comparison with existing results in the literature is given.

Comments: 14 pages

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