Renormalization of vector fields with mass-like coupling in curved spacetime
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Garcia-Recio, C., & Salcedo, L. L. (2019). Renormalization of vector fields with mass-like coupling in curved spacetime. The European Physical Journal C, 79(5), 438.
SponsorshipThis work has been partially supported by the Spanish MINECO (Grant no. FIS2017-85053-C2-1-P) and by the Junta de Andalucía (Grant no. FQM-225). This study has been partially financed by the Consejería de Conocimiento, Investigación y Universidad, Junta de Andalucía and European Regional Development Fund (ERDF), ref. SOMM17/6105/UGR.
Using the method of covariant symbols we compute the divergent part of the effective action of the Proca field with non-minimal mass term. Specifically a quantum abelian vector field with a non-derivative coupling to an external tensor field in curved spacetime in four dimensions is considered. Relatively explicit expressions are obtained which are manifestly local but non polynomial in the external fields. Our result is shown to reproduce existing ones in all particular cases considered. Internal consistency with Weyl invariance is also verified.