Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-09-10
Int.J.Mod.Phys. A12 (1997) 3609-3623
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, latex, no figures
Scientific paper
Quantizing the electromagnetic field with a group formalism faces the difficulty of how to turn the traditional gauge transformation of the vector potential, $A_{\mu}(x)\rightarrow A_{\mu}(x)+\partial_{\mu}\varphi(x)$, 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, $U(1)(\vec{x},t)$, acquire dynamical content outside the photon mass shell, a fact which also allows a unified quantization of both the electromagnetic and Proca fields.
Aldaya Victor
Calixto Manuel
Navarro Manuel
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