The Wess-Zumino-Witten term in non-commutative two-dimensional fermion models

Abstract

We study the effective action associated to the Dirac operator in two dimensional non-commutative Field Theory. Starting from the axial anomaly, we compute the determinant of the Dirac operator and we find that even in the U(1) theory, a Wess-Zumino-Witten like term arises.

11 pages, no figures, LaTex file

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