Chern–Simons action in noncommutative space

We derive the noncommutative Chern-Simons action induced by Dirac fermions coupled to a background gauge field, for the fundamental, antifundamental, and the adjoint representation. We discuss properties of the noncommutative Chern-Simons action showing in particular that the Seiberg-Witten formula...

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Detalles Bibliográficos
Autores principales: Grandi, Nicolás Esteban, Silva, Guillermo Ariel
Formato: Articulo
Lenguaje:Inglés
Publicado: 2001
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/131567
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Sumario:We derive the noncommutative Chern-Simons action induced by Dirac fermions coupled to a background gauge field, for the fundamental, antifundamental, and the adjoint representation. We discuss properties of the noncommutative Chern-Simons action showing in particular that the Seiberg-Witten formula maps it into the standard commutative Chern-Simons action.