Abstract
We consider chiral Schwinger model with Faddeevian anomaly, and carry out the quantization of both the gauge-invariant and non-invariant version of this model has been. Theoretical spectra of this model have been determined both in the Lagrangian and Hamiltonian formulation and a necessary correlation between these two are made. BRST quantization using BFV formalism has been executed which shows spontaneous appearance of Wess–Zumino term during the process of quantization. The gauge invariant version of this model in the extended phase space is found to map onto the physical phase space with the appropriate gauge fixing condition.
Highlights
Plenty of investigations on this model were carried out in connection with the confinement-de-confinement aspect of fermion, renormalization, [1,2,3,5,9,10,11,12] regeneraa e-mails: anisur.rahman@saha.ac.in; manisurn@gmail.com tion of the lost symmetry due to the compelling electromagnetic anomaly [24,25,26], BRST invariant reformulation etc. [29,30,31]. Mitra in his seminal work [5] showed that this model remained physically sensible in all respect with a very special type of anomaly which was termed by Mitra as Faddeevian anomaly [32,33,34,35]
How the gauge invariant model with Wess– Zumino term maps onto the usual gauge invariant version of the model is shown in Sect
In this article we have considered the chiral Schwinger model with Faddeevian anomaly coined by Mitra in his seminal article [5]
Summary
Mitra in his seminal work [5] showed that this model remained physically sensible in all respect with a very special type of anomaly which was termed by Mitra as Faddeevian anomaly [32,33,34,35]. Photon here too acquires mass via kind of dynamical symmetry breaking, but unlike the Jackiw–Rajaraman version of chiral Schwinger model the fermion which remains unconfined has a definite chirality. Another attraction of this model is the admissibility of description of this model in terns of chiral boson [36,37,38] which is the basic ingredient of the heterotic string theory.
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