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

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

2011-04-07

arxiv.org/abs/1104.1374v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, 1 figure

Scientific paper

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.

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