A Model of Boson in (1 + 1) Dimension with the Non-Covariant Masslike Term for the Gauge Field

A precisely feasible gauged model of chiral boson with its BRST cohomological perspectives

“…The gauge theories endowed with the anti-BRST as well as anti-co-BRST symmetries within the framework of BRST formalism can be shown to provide a set of tractable physical examples for the Hodge theory where the symmetries and the corresponding conserved charges provide the physical realization of the de Rham cohomological operators of differential geometry [32][33][34]. Batalin Fradkin vilkovisky (BFV) [28][29][30][31] formalism and its applications in different field theoretical models [35][36][37][38][39][40][41][42][43][44][45][46][47][48] has added a huge instructive and illuminating information in the field theoretical regime. So the attempt to construct the BRST invariant reformulations of this gauged chiral boson having a non-covariant para meter involved masslike term for gauge field taking the help of BFV formulation will add a new and instructive contribution to the regime of formal field theory.…”

On the indistinguishability of Chiral QED with parameter-free Faddeevian anomaly and QED under a chiral constraint

“…The fascinating role of imposition of chiral constraint to save the phenomena of s-wave scattering off dilaton black hole from the danger of information loss is observed in [9]. In the article [13], we found that the model generated in [1] by the imposition of the chiral constraint had its origin in the gauge model of chiral boson [14]. Apart from the standard Lorentz co-variant one-parameter class of regularization [2,3], in the article [15,16] the authors showed that the chiral Schwinger model was also found to be physically sensible for a Lorentz non-covariant parameter-free regularization which resulted in a Faddeevian type of anomaly [17,18].…”

“…The imposition of chiral constraint in the phasespace of the theory enables us to express this model in terms of chiral boson in [9]. The resulting model in this situation also finds its origin in the gauged version of the chiral boson [14], when the co-variant mass masslike term for the gauge field is replaced by a non-covariant masslike term [13]. The role of the chiral constraint that has been studied so far was restricted on the model where interaction is of chiral nature.…”