Heat kernel coefficients for massive gravity

Author:

Ferrero Renata12ORCID,Fröb Markus B.3ORCID,Lima William C. C.3ORCID

Affiliation:

1. Institut für Physik (THEP), Johannes Gutenberg-Universität Mainz 1 , Staudingerweg 7, 55128 Mainz, Germany

2. Institute for Quantum Gravity, Friedrich-Alexander-Universität Erlangen-Nürnberg 2 , Staudtstr. 7, 91058 Erlangen, Germany

3. Institut für Theoretische Physik, Universität Leipzig 3 , Brüderstraße 16, 04103 Leipzig, Germany

Abstract

We compute the heat kernel coefficients that are needed for the regularization and renormalization of massive gravity. Starting from the Stueckelberg action for massive gravity, we determine the propagators of the different fields (massive tensor, vector and scalar) in a general linear covariant gauge depending on four free gauge parameters. We then compute the non-minimal heat kernel coefficients for all the components of the scalar, vector and tensor sector, and employ these coefficients to regularize the propagators of all the different fields of massive gravity. We also study the massless limit and discuss the appearance of the van Dam–Veltman–Zakharov discontinuity. In the course of the computation, we derive new identities relating the heat kernel coefficients of different field sectors, both massive and massless.

Funder

Deutsche Forschungsgemeinschaft

Publisher

AIP Publishing

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