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arXiv · 1703.00526

Massive vector field on curved background: non-minimal coupling, quantization and divergences

Ioseph L. Buchbinder·Tibério de Paula Netto·Ilya L. Shapiro
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Abstract

We study the effective action for the massive vector field theory non-minimally coupled to external gravitational field. Such a theory is an interesting model both from the theoretical side and also due to the various phenomenological applications to cosmology and astrophysics. The present work pretends to initiate a systematic study of its properties at the quantum level, by exploring free massive vector coupled to an external symmetric second-rank tensor. Stueckelberg scalar field is used to restore the gauge invariance. After that, by using a special gauge fixing and non-local in external fields change of variables, we diagonalize the bilinear form of the action and develop a consistent procedure to study the effective action. As a result we derive a complete non-linear structure of divergences of the effective action and discuss its properties.

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Ioseph L. Buchbinder, Tibério de Paula Netto, Ilya L. Shapiro. 2017-03-01. Massive vector field on curved background: non-minimal coupling, quantization and divergences. https://doi.org/10.1103/physrevd.95.085009

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