Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-07-05
Physics
High Energy Physics
High Energy Physics - Theory
6 pages, talk given by M.L. at the MRST-94 Conference "What Next? Exploring the Future of High-Energy Physics", McGill Univers
Scientific paper
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 $R_\xi$-gauge in the limit $\xi\rightarrow 0$ 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.
Caenepeel Didier
Leblanc Marc
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