Vol. 3, No. 2, 2015

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ISSN: 2325-3444 (e-only)
ISSN: 2326-7186 (print)
Relative Cauchy evolution for the vector potential on globally hyperbolic spacetimes

Marco Benini

Vol. 3 (2015), No. 2, 177–210

The dynamics of the electromagnetic vector potential is analyzed in full detail in view of the principle of general local covariance of Brunetti, Fredenhagen and Verch. Exploiting this result, the relative Cauchy evolution for the vector potential is introduced and its relation with the energy-momentum tensor is established, extending the well known results for Klein–Gordon and Dirac fields.

quantum field theory on curved spacetimes, Maxwell equation, general local covariance, relative Cauchy evolution
Mathematical Subject Classification 2010
Primary: 81T20, 81T05, 81T13
Received: 17 February 2014
Accepted: 21 April 2014
Published: 16 May 2015

Communicated by Mauro Carfora
Marco Benini
Dipartimento di Fisica, Università di Pavia & INFN, Sezione di Pavia
Via Bassi 6
I-27100 Pavia