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The Perturbative Gross Neveu Model Coupled to a Chern-Simons Field: A Renormalization Group Study

V. S. Alves·M. Gomes·S. V. L. Pinheiro·A. J. da Silva
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Abstract

In 2+1 dimensions, for low momenta, using dimensional renormalization we study the effect of a Chern-Simons field on the perturbative expansion of fermions self interacting through a Gross Neveu coupling. For the case of just one fermion field, we verify that the dimension of operators of canonical dimension lower than three decreases as a function of the Chern-Simons coupling.

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V. S. Alves, M. Gomes, S. V. L. Pinheiro, A. J. da Silva. 1998-10-14. The Perturbative Gross Neveu Model Coupled to a Chern-Simons Field: A Renormalization Group Study. https://doi.org/10.1103/physrevd.59.045002

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