Bose Symmetry and Chiral Decomposition of 2D Fermionic Determinants

Details Bose Symmetry and Chiral Decomposition of 2D Fermionic Determinants Bose Symmetry and Chiral Decomposition of 2D Fermionic Determinants

1997-07-24

arxiv.org/abs/hep-th/9707204v4

Nucl.Phys. B509 (1998) 519-528

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/S0550-3213(97)00677-9

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.

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