Chiral Schwinger model with Faddeevian anomaly and its BRST quantization

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.

BFFT Nonlinear Constraints Abelianization of a Prototypical Second-Class System

“…Therefore we see that (44) provides a sufficient condition for a simple solution of the constraints Abelianization problem (33), whilst the additional relation (49) allows for a corresponding simple involutive Hamiltonian. Namely, under (44), the converted constraints (37) and (38) represent simple closed expressions in the BFFT variables η (1)α , η…”

“…Seminal applications of the BFFT formalism can be seen in references [26,27,28,29,30,31,32,33], while more recent accounts can be found in [34,35,36,37]. In [34], the authors show an interesting study of graphene in non-commutative space in which the BFFT formalism is used to recover broken gauge symmetries, whereas [35] deals with a constrained higher-order-derivatives model within the BFFT conversional approach.…”

“…A direct application of the BFFT formalism to the non-Abelian supersymmetric Chern-Simons model can be seen in reference [36]. In reference [37], we can see the use of BFFT variables in a constraints conversional approach to discuss the quantization of the anomalous chiral Schwinger model. It is also worth mentioning here the appearance of many extensions and generalizations of the original BFFT formalism such as the improved BFFT [38,39], the embedding BFFT [40,41,42], the Wotsazek-Neves [43,44] and the gauge-unfixing [45,46,47,48,49] methods.…”