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 oriented fourdimensional 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 nontrivial 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.
 Publication:

Letters in Mathematical Physics
 Pub Date:
 September 2012
 DOI:
 10.1007/s1100501205718
 arXiv:
 arXiv:1104.1374
 Bibcode:
 2012LMaPh.101..265D
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 23 pages, 1 figure, explicit construction of the universal algebra added in section 3