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

It was found that s-wave scattering of chiral fermion off dilaton black-hole when studied with a model generated from the chiral Schwinger model with standard Jackiw-Rajaraman type of anomaly provided information non preserving result. However this scattering problem when studied with a model generated from chiral Schwinger model with generalized Faddeevian type of anomaly. rendered information preserving result and it had well agreement with Hawking's revised proposal related to information loss. A minute and equitable investigation in detail has been carried out here to show how Faddeevian type of anomaly scores over the Jackiw-Rajaraman type of anomaly in connection with the s-wave scattering of chiral fermion of dilaton black-hole related to preservation of information.Comment: 11 pages latex file: To appear in Nucl. Phys.

Chiral Schwinger model with one-parameter class of Faddeevian anomaly revisited

We consider the gauged model of Siegel type chiral boson with a suitable Lorentz non-covariant masslike term for the gauge fields which is found to be equivalent to the chiral Schwinger model with one parameter class of Faddeevian anomaly when the model is described in terms of Floreanini-Jackiw type chiral boson. The model is made gauge invariant with the introduction of Wess-Zunino field. It has been shown that the gauge invariant model has the same physical content as its gauge variant ancestor. The BRST invariant effective action of this model has also been constructed. The chiral Schwinger model with one parameter class Faddeevian anomaly has also been made gauge invariant using the Wess-Zumino field this model is also shown that it is equivalent to the gauge non-invariant version of this model. The BRST invariant extension is also been made for this model. Since these models are of the same origin it has been found that the symmetric properties are alike in spite of distinct differences in the construction of these models.Comment: 11 pages Latex, No figure. arXiv admin note: substantial text overlap with arXiv:2005.1269