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arXiv · 1104.1374

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

Claudio Dappiaggi·Benjamin Lang
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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.

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Claudio Dappiaggi, Benjamin Lang. 2011-04-07. Quantization of Maxwell's equations on curved backgrounds and general local covariance. https://doi.org/10.1007/s11005-012-0571-8

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