Bose Symmetry and Chiral Decomposition of 2D Fermionic Determinants

Abstract

We show in a precise way, either in the fermionic or its bosonized version, that Bose symmetry provides a systematic way to carry out the chiral decomposition of the two dimensional fermionic determinant. Interpreted properly, we show that there is no obstruction of this decomposition to gauge invariance, as is usually claimed. Finally, a new way of interpreting the Polyakov-Wiegman identity is proposed.

LaTex file, 17 pages, Ref.(5) corrected, final version to appear in Nucl. Phys. B

References in corpus (1)

• Decoupled path integral formulation of chiral QCD${}_2$ with $a_{JR}=2$

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