A quantization scheme for Maxwell’s equations without source is developed on an arbitrary oriented 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 taken.

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

DAPPIAGGI, CLAUDIO
2012-01-01

Abstract

A quantization scheme for Maxwell’s equations without source is developed on an arbitrary oriented 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 taken.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/420334
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