publication . Preprint . 2015

Quantization of the minimal and non-minimal vector field in curved space

Toms, David J.;
Open Access English
  • Published: 20 Sep 2015
Abstract
The local momentum space method is used to study the quantized massive vector field (the Proca field) with the possible addition of non-minimal terms. Heat kernel coefficients are calculated and used to evaluate the divergent part of the one-loop effective action. It is shown that the naive expression for the effective action that one would write down based on the minimal coupling case needs modification. We adopt a Faddeev-Jackiw method of quantization and consider the case of an ultrastatic spacetime for simplicity. The operator that arises for non-minimal coupling to the curvature is shown to be non-minimal in the sense of Barvinsky and Vilkovisky. It is show...
Subjects
arXiv: High Energy Physics::Theory
free text keywords: High Energy Physics - Theory, General Relativity and Quantum Cosmology
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