Anyon Mean Field as an Exact Limit of a Gauge Theory

Details Anyon Mean Field as an Exact Limit of a Gauge Theory Anyon Mean Field as an Exact Limit of a Gauge Theory

1993-02-04

arxiv.org/abs/hep-th/9302018v1

Nucl. Phys. Proc. Suppl. C33 (1993) 99

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, LaTex

Scientific paper

10.1016/0920-5632(93)90374-F

We summarize a study of an Abelian gauge theory in 2+1 dimensions, the gauge field being coupled to nonrelativistic Fermions. The Action for the gauge field is a combination of the Maxwell term and a Chern-Simons (CS) term. We study the limit of vanishing Fermions' charge, keeping fixed the gauge field mass induced by the CS term. By considering a closed surface, in particular a torus to keep translational invariance, we show that the Fermions do not decouple completely from the gauge field, and in fact they behave as Anyons treated in the -translationally invariant formulation of the- Mean Field approximation. We describe the exact solution of this limiting case.

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