Renormalization of vector fields with mass-like coupling in curved spacetime

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. Rela...

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Bibliographic Details
Published inThe European physical journal. C, Particles and fields Vol. 79; no. 5; pp. 1 - 15
Main Authors Garcia-Recio, C., Salcedo, L. L.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 23.05.2019
Springer
Springer Nature B.V
SpringerOpen
Subjects
Astronomy
Astrophysics and Cosmology
Coupling
Elementary Particles
Fields (mathematics)
Hadrons
Heavy Ions
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Polynomials
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
Spacetime
String Theory
Tensors
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Summary: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.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-019-6930-1