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29 March 2024
 
  » arxiv » hep-th/9407030

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Radiative Corrections in Nonrelativistic Chern-Simons Theory
D. Caenepeel ; M. Leblanc ;
Date 5 Jul 1994
Subject hep-th
AbstractWe present the one-loop scalar field effective potential for the $N=2$ supersymmetric nonrelativistic self-interacting matter fields coupled to an Abelian Chern-Simons gauge field and for its generalization when bosonic matter fields are coupled to non-Abelian Chern-Simons field. In both models, Gauss’s law linearly relates the magnetic field to the matter field densities; hence, we also include radiative effects from the background gauge field. We compute the scalar field effective potentials in two gauge families, a gauge reminiscent of the $R_xi$-gauge in the limit $xi ightarrow 0$ and in the Coulomb family gauges. We regularize the theory with operator regularization and a cutoff to demonstrate that the results are independent of the regularization scheme.
Source arXiv, hep-th/9407030
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