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

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arxiv 1104.1374 v2 pith:WJMTLUJY submitted 2011-04-07 gr-qc hep-thmath-phmath.MP

classification gr-qchep-thmath-phmath.MP
keywords generalcovarianceequationsfieldlocalmaxwellquantizationspacetime
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Measurements in stochastic gravity and thermal variance

    gr-qc 2025-06 conditional novelty 6.0 of 10

    Thermal photon fluctuations in a curved spacetime generate metric variance that, in the Fewster-Verch measurement scheme, equals the stochastic gravity noise kernel exactly.

  2. The Fock Space Dynamics of Causal Fermion Systems: Non-Abelian Gauge Fields

    math-ph 2026-07 conditional novelty 5.0 of 10

    A limiting case of the causal action principle for causal fermion systems yields the Fock-space dynamics and Feynman diagrams of pQFT including non-abelian gauges and Dirac fields.

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