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Noncommutative Field Theory: Nonrelativistic Fermionic Field Coupled to the Chern-Simons Field in 2+1 Dimensions

M. A. Anacleto·M. Gomes·A. J. da Silva·D. Spehler
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Abstract

We study a noncommutative nonrelativistic fermionic field theory in 2+1 dimensions coupled to the Chern-Simons field. We perform a perturbative analysis of model and show that up to one loop the ultraviolet divergences are canceled and the infrared divergences are eliminated by the noncommutative Pauli term.

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M. A. Anacleto, M. Gomes, A. J. da Silva, D. Spehler. 2004-12-06. Noncommutative Field Theory: Nonrelativistic Fermionic Field Coupled to the Chern-Simons Field in 2+1 Dimensions. https://doi.org/10.1103/physrevd.71.107701

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