Renormalization of generalized vector field models in curved spacetime

TL;DR

This paper computes one-loop divergences for various vector field models in curved spacetime, introducing a classification scheme and extending heat-kernel techniques to handle the generalized Proca model relevant in cosmology.

Contribution

It provides a new classification scheme for vector field models and derives a closed-form expression for the one-loop divergences of the generalized Proca model.

Findings

Derived one-loop divergences for different vector models

Introduced a classification scheme based on degeneracy structure

Extended heat-kernel techniques to generalized Proca model

Abstract

We calculate the one-loop divergences for different vector field models in curved spacetime. We introduce a classification scheme based on their degeneracy structure, which encompasses the well-known models of the non-degenerate vector field, the Abelian gauge field and the Proca field. The renormalization of the generalized Proca model, which has important applications in cosmology, is more complicated. By extending standard heat-kernel techniques, we derive a closed form expression for the one-loop divergences of the generalized Proca model.