Renormalization of vector fields with mass-like coupling in curved spacetime
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Springer Nature
Fecha
2019-05-23Referencia bibliográfica
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.
Patrocinador
This 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.Resumen
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.