Gauged Floreanini–Jackiw type chiral boson and its BRST quantization

Abstract

The gauged model of Siegel type chiral boson is considered. It has been shown that the action of gauged model of Floreanini-Jackiw (FJ) type chiral boson is contained in it in an interesting manner. A BRST invariant action corresponding to the action of gauged FJ type chiral boson has been formulated using Batalin, Fradkin and Vilkovisky based improved Fujiwara, Igarishi and Kubo (FIK) formalism. An alternative quantization of the gauge symmetric action has been made with a Lorentz gauge and an attempt has been made to establish the equivalence between the gauge symmetric version of the extended phase space and original gauge non-invariant version of the usual phase space.

Role of Faddeevian anomaly in the s-wave scattering of chiral fermion off dilaton black holes towards preservation of information

“…So the tree level bosonized theory acquires the effect of one loop correction. Equation (9), apparat from the dilatonic factor was initially found in [14] where the author termed it as chiral Schwinger model with Faddeevian anomaly. It is now necessary to carry out the Hamiltonian analysis of the theory in order to observe the role of dilaton field on the theoretical spectra.…”

“…This model was generated from the usual chiral Schwinger model with the standard one para meter class of anomaly introduced by Jackiw-Rajaraman [8] under the imposition of a chiral constraint by hand in the phase space of the theory. Recently, it is shown in the article [9], that it can be obtained directly from the gauged action of Siegel type chiral boson [1,3] too.Although in the article [7], the s-wave scattering of chiral fermion off dilaton black-hole rendered a result with nonpreservation of information, in our article [10], we have shown that s-wave scattering of chiral fermion with generalized Faddeevian anomaly [11] leads to an information preserving result. This information preserving result related to information loss scenario of course is a gift of the Faddeevian anomaly and it indeed agrees with Hawking's revised suggestion [12].…”

Chiral Schwinger model with Faddeevian anomaly and its BRST quantization

“…It was later shown in [9] that it was the fascinating one loop correction term that entered during regularization. The model then became a fertile field of investigation in the regime of lower dimensional anomalous gauge theory [2,3,5,[10][11][12][13][14][15][16][17][18][19][20][21][22][23] and extension of this model started in different direction [1][2][3]5,[9][10][11][12] like the extension of its ancestor the celebrated Schwinger model [7,13,14]. 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.…”

“…This model with these two independent physically sensible one loop correction (Counter term) and their ancestor, viz, the celebrated Schwinger model are so fascinating with so many interesting surprise [2,3,5,[10][11][12][13][14][15][16][17][18][19][20][21][22][23][26][27][28] that till now it remains as a field of several investigations in the exactly solvable regime of lower dimensional field theoretical models. This article is an extension of chiral Schwinger model with Faddeevian type of anomaly due to Mitra towards its quantization in both the gauge invariant as well as gauge non-invariant manner along with the BRST invariant reformulation with an attempt to derive the appropriate Wess-Zumino term.…”

“…BRST symmetry is the symmetry of a gauge fixed action in the enlarged Hilbert space. BRST quantization is subject of huge interest [29,30,[41][42][43][44][45][46][48][49][50]. Field dependent BRST has added a new flavor in the arena of BRST quantization [51,52].…”