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.
Highlights
Most models of inflation and dynamical dark energy are based on scalar-tensor theories and fðRÞ gravity, which have an additional propagating scalar degree of freedom (d.o.f.)
We have investigated the renormalization of generalized vector field models in curved spacetime
We have introduced a classification scheme for different vector field models based on the degeneracy structure of their associated fluctuation operator
Summary
Most models of inflation and dynamical dark energy are based on scalar-tensor theories and fðRÞ gravity, which have an additional propagating scalar degree of freedom (d.o.f.). We use another approach, which allows us to derive the one-loop divergences for the generalized Proca model in a closed form. This fluctuation operator acquires the form of a second order minimal (Laplace-type) operator For this simple class of operators, a closed algorithm for the calculation of the one-loop divergences exists [14].
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