Chern-Simons Field Theory and Generalizations of Anyons

Stefan Mashkevich

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arXiv · hep-th/9709102

Chern-Simons Field Theory and Generalizations of Anyons

Stefan Mashkevich

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Abstract

It is well known that charges coupled to a pure Chern-Simons gauge field in (2+1) dimensions undergo an effective change of statistics, i.e., become anyons. We will consider several generalizations thereof, arising when the gauge field is more general. The first one is ``multispecies anyons''---charged particles of several species coupled to one, or possibly several, Chern-Simons fields. The second one is finite-size anyons, which are charged particles coupled to a gauge field described by the Chern-Simons term plus some other term. In fact, rigorously speaking, quasielectrons and quasiholes in the fractional quantum Hall effect are multispecies finite-size anyons. The third one is an analog of finite-size anyons which arises in a model with a mixed Chern-Simons term; notably, this model is P,T-invariant, which opens the way for practical applications even when there is no parity-breaking magnetic field.

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Stefan Mashkevich. 1997-09-15. Chern-Simons Field Theory and Generalizations of Anyons. https://arxiv.org/abs/hep-th/9709102

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