Renormalization of generalized vector field models in curved spacetime

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.

arXiv comment24 pages, one figure, typos corrected, accepted for publication in Phys. Rev. D

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• Higgs field in cosmology
• Towards a unitary, renormalizable and ultraviolet-complete quantum theory of gravity
• Quantum effective action for degenerate vector field theories
• Consistency of an alternative CPT-odd and Lorentz-violating extension of QED
• Renormalization of vector fields with mass-like coupling in curved spacetime
• On constrained analysis and diffeomorphism invariance of generalised Proca theories
• Combinatorial aspects in the one-loop renormalization of higher derivative theories
• Residual gauge-invariance in a massive Lorentz-violating extension of QED
• Non-minimal non-Abelian quantum vector fields in curved spacetime