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

By Claudio Dappiaggi and Benjamin Lang

Abstract

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.Comment: 23 pages, 1 figure, explicit construction of the universal algebra added in section

Topics: General Relativity and Quantum Cosmology, High Energy Physics - Theory, Mathematical Physics
Year: 2012
DOI identifier: 10.1007/s11005-012-0571-8
OAI identifier: oai:arXiv.org:1104.1374
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