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Interference Phenomenon for the Faddeevian Regularization of 2D Chiral Fermionic Determinants | | Everton M. C. Abreu
; Anderson Ilha
; Clifford Neves
; Clovis Wotzasek
; | | Date: |
22 Apr 1999 | | Journal: | Phys.Rev. D61 (2000) 025014 | | Subject: | hep-th | | Affiliation: | FEG / UNESP), Anderson Ilha, Clifford Neves and Clovis Wotzasek (UFRJ | | Abstract: | The classification of the regularization ambiguity of 2D fermionic determinant in three different classes according to the number of second-class constraints, including the new faddeevian regularization, is examined and extended. We found a new and important result that the faddeevian class, with three second-class constraints, possess a free continuous one parameter family of elements. The criterion of unitarity restricts the parameter to the same range found earlier by Jackiw and Rajaraman for the two-constraints class. We studied the restriction imposed by the interference of right-left modes of the chiral Schwinger model ($chi QED_{2}$) using Stone’s soldering formalism. The interference effects between right and left movers, producing the massive vectorial photon, are shown to constrain the regularization parameter to belong to the four-constraints class which is the only non-ambiguous class with a unique regularization parameter. | | Source: | arXiv, hep-th/9904152 | | Services: | Forum | Review | PDF | Favorites | |
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