https://doi.org/10.1140/epja/i2013-13120-x
Regular Article - Theoretical Physics
Generating functional for mesonic ChPT with virtual photons in a general covariant gauge
1
Helmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität Bonn, Nussallee 14-16, D-53115, Bonn, Germany
2
St. Andrew the First-Called Georgian University of the Patriarchate of Georgia, Chavchavadze Ave. 53a, 0162, Tbilisi, Georgia
3
Institute of High Energy Physics, Ivane Javakhishvili Tbilisi State University, University St. 9, 109, Tbilisi, Georgia
Received:
8
July
2013
Accepted:
23
August
2013
Published online:
23
September
2013
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 non-minimal type, for which the standard heat kernel methods are not directly applicable. Both the SU(2) and SU(3) cases have been worked out. A comparison with existing results in the literature is given.
© SIF, Springer-Verlag Berlin Heidelberg, 2013
