Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-04-22
Phys.Rev. D61 (2000) 025014
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, Revtex. Final version to be published in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.61.025014
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.
Abreu Everton M. C.
Ilha Anderson
Neves Clifford
Wotzasek Clovis
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