Interference Phenomenon for the Faddeevian Regularization of 2D Chiral Fermionic Determinants

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 ($\chi QE{D}_2$) 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.

15 pages, Revtex. Final version to be published in Phys. Rev. D

References in corpus (5)

• Bosonisation and Duality Symmetry in the Soldering Formalism
• Bose Symmetry and Chiral Decomposition of 2D Fermionic Determinants
• Interference Phenomenon for Different Chiral Bosonization Schemes
• Soldering Formalism: Theory and Applications
• Destructive Interference of Dualities

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• Interference of Spin-2 Self-Dual Modes
• Interference phenomena, chiral bosons and Lorentz invariance
• New approaches in W-gravities
• Non-Abelian Gauged Chiral Boson with a Generalized Faddevian Regularization
• New remarks on the linear constraint self-dual boson and Wess-Zumino terms