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

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.

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Detalles Bibliográficos
Autores principales: Moreno, Enrique Francisco, Schaposnik, Fidel Arturo
Formato: Articulo
Lenguaje:Español
Publicado: 2000
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/128702
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Descripción
Sumario: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.