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

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.

23 pages, 1 figure, explicit construction of the universal algebra added in section 3

References in corpus (1)

• Remarks on the Reeh-Schlieder property for higher spin free fields on curved spacetimes

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