Massive vector field on curved background: Nonminimal coupling, quantization, and divergences

We study the effective action for the massive vector field theory nonminimally 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 prete...

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Veröffentlicht in:Physical review. D 2017-04, Vol.95 (8), Article 085009
Hauptverfasser: Buchbinder, Ioseph L., Netto, Tibério de Paula, Shapiro, Ilya L.
Format: Artikel
Sprache:eng
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Zusammenfassung:We study the effective action for the massive vector field theory nonminimally 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 nonlocal 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 nonlinear structure of divergences of the effective action and discuss its properties.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.95.085009