Massive vector field on curved background: non-minimal coupling, quantization and divergences
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.
Cite
@article{arxiv.1703.00526,
title = {Massive vector field on curved background: non-minimal coupling, quantization and divergences},
author = {Ioseph L. Buchbinder and Tibério de Paula Netto and Ilya L. Shapiro},
journal= {arXiv preprint arXiv:1703.00526},
year = {2017}
}
Comments
19 pages. A few references added. Accepted in PRD