Reduced Order Podolsky Model

Abstract

We perform the canonical and path integral quantizations of a lower-order derivatives model describing Podolsky's generalized electrodynamics. The physical content of the model shows an auxiliary massive vector field coupled to the usual electromagnetic field. The equivalence with Podolsky's original model is studied at classical and quantum levels. Concerning the dynamical time evolution we obtain a theory with two first-class and two second-class constraints in phase space. We calculate explicitly the corresponding Dirac brackets involving both vector fields. We use the Senjanovic procedure to implement the second-class constraints and the Batalin-Fradkin-Vilkovisky path integral quantization scheme to deal with the symmetries generated by the first-class constraints. The physical interpretation of the results turns out to be simpler due to the reduced derivatives order permeating the equations of motion, Dirac brackets and effective action.

References in corpus (6)

• Classical and quantum stability of higher-derivative dynamics
• Causal approach for the electron-positron scattering in Generalized Quantum Electrodynamics
• Path Integral Quantization of Generalized Quantum Electrodynamics
• Renormalizability of generalized quantum electrodynamics
• Batalin-Fradkin-Vilkovisky quantization of the generalized scalar electrodynamics
• Dual symmetry in a generalized Maxwell theory