# Quantization of Maxwell's equations on curved backgrounds and general local covariance

April 07, 2011

We develop a quantization scheme for Maxwell's equations without source on an
arbitrary four dimensional globally hyperbolic spacetime. The field strength
tensor is the key dynamical object and it is not assumed a priori that it
descends from a vector potential. It is shown that, in general, the associated
field algebra can contain a non trivial centre and, on account of this, such a
theory cannot be described within the framework of general local covariance
unless further restrictive assumptions on the topology of the spacetime are
made.

open access link
Lett.Math.Phys. 101 (2012) 265-287

@article{Dappiaggi:2011zs,
author = "Dappiaggi, Claudio and Lang, Benjamin",
title = "{Quantization of Maxwell's equations on curved
backgrounds and general local covariance}",
journal = "Lett. Math. Phys.",
volume = "101",
year = "2012",
pages = "265-287",
doi = "10.1007/s11005-012-0571-8",
eprint = "1104.1374",
archivePrefix = "arXiv",
primaryClass = "gr-qc",
SLACcitation = "%%CITATION = ARXIV:1104.1374;%%"
}

Keywords:

QFT on curved spacetimes, gauge field theories