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arXiv · hep-th/9407030

Radiative Corrections in Nonrelativistic Chern-Simons Theory

D. Caenepeel·M. Leblanc
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Abstract

We 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 $R_ξ$-gauge in the limit $ξ\rightarrow 0$ 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.

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D. Caenepeel, M. Leblanc. 1994-07-05. Radiative Corrections in Nonrelativistic Chern-Simons Theory. https://arxiv.org/abs/hep-th/9407030

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