On the gauge and BRST invariance of the chiral QED with Faddeevian anomaly

Abstract

Chiral Schwinger model with the Faddeevian anomaly is considered. It is found that imposing a chiral constraint this model can be expressed in terms of chiral boson. The model when expressed in terms of chiral boson remains anomalous and the Gauss law of which gives anomalous Poisson brackets between itself. In spite of that a systematic BRST quantization is possible. The Wess-Zumino term corresponding to this theory appears automatically during the process of quantization. A gauge invariant reformulation of this model is also constructed. Unlike the former one gauge invariance is done here without any extension of phase space. This gauge invariant version maps onto the vector Schwinger model.The gauge invariant version of the chiral Schwinger model for $a=2$ has a massive field with identical mass however gauge invariant version obtained here does not map on to that.

11 pages latex, no figures, A little change in Title and abstract

References in corpus (2)

• Chiral QED in Terms of Chiral Boson with a Generalized Fadeevian Regularization
• Nonperturbative solution of the Nonconfining Schwinger Model with a generalized regularization

Cited by in corpus (5)

• Gauged Floreanini-Jackiw type chiral boson and its BRST quantization
• On the BRST and finite field dependent BRST of a model where vector and axial vector interaction get mixed up with different weight
• On the Poincaré and Gauge symmetry of a model where vector and axial vector interaction get mixed up with different weight
• Study of Gauge Symmetry of Some Field Theoretical Models Through the Lagrangian Formulation
• On the indistinguishability of Chiral QED with parameter-free Faddeevian anomaly and QED under a chiral constraint