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

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

1998-10-14

arxiv.org/abs/hep-th/9810106v1

Phys.Rev. D59 (1999) 045002

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, 6 figures, revtex. To appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.59.045002

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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