The Electromagnetic and Proca Fields Revisited: a Unified Quantization
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Knowledge AreaMatemática Aplicada
SponsorsWe all wish to thank J. Guerrero for valuable discussions. M. C. and M. N. are grateful to the Spanish M.E.C. for a F.P.I. and postdoctoral F.P.U. grant, respectively, and M. N. to the Imperial College for its hospitality.
PublisherWorld Scientific Publishing Company
Bibliographic CitationALDAYA VALVERDE, Victor, CALIXTO MOLINA, Manuel, NAVARRO, Miguel. The Electromagnetic and Proca Fields Revisited: a Unified Quantization. International Journal of Modern Physics A, 12 (20): 3609-3623, 1997. DOI 10.1142/S0217751X97001869
KeywordsCampos electromagnéticos Proca
Quantizing the electromagnetic field with a group formalism faces the difficulty of how to turn the traditional gauge transformation of the vector potential, Aμ(x) → Aμ(x) + ∂μϕ(x), into a group law. In this paper it is shown that the problem can be solved by looking at gauge transformations in a slightly different manner which, in addition, does not require introducing any BRST-like parameter. This gauge transformation does not appear explicitly in the group law of the symmetry but rather as the trajectories associated with generalized equations of motion generated by vector fields with null Noether invariants. In the new approach the parameters of the local group, U(1)(~x, t), acquire dynamical content outside the photon mass shell, a fact which also allows a unified quantization of both the electromagnetic and Proca fields.
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