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RESEARCH PRODUCT
The electromagnetic and Proca fields revisited: A unified quantization
Manuel CalixtoVictor AldayaVictor AldayaMiguel NavarroMiguel Navarrosubject
Electromagnetic fieldPhysicsHigh Energy Physics - TheoryNuclear and High Energy PhysicsPhotonQuantization (signal processing)Equations of motionFOS: Physical sciencesAstronomy and AstrophysicsMatemática AplicadaCampos electromagnéticosCampos electromagnéticos ProcaAtomic and Molecular Physics and OpticsCuantización unificadasymbols.namesakeHigh Energy Physics - Theory (hep-th)Proca Cuantización unificadasymbolsVector fieldGauge theoryNoether's theoremMathematical physicsVector potentialdescription
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. © World Scientific Publishing Company.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1997-08-10 |