Ef. Moreno et Fa. Schaposnik, The Wess-Zumino-Witten term in non-commutative two-dimensional fermion models, J HIGH EN P, (3), 2000, pp. NIL_681-NIL_690
We study the effective action associated to the Dirac operator in two dimen
sional non-commutative Field Theory. Starting from the axial anomaly, we co
mpute the determinant of the Dirac operator and we find that even in the U(
1) theory, a Wess-Zumino-Witten like term arises.