Model of statistically coupled chiral fields on the circle

Details Model of statistically coupled chiral fields on the circle Model of statistically coupled chiral fields on the circle

1996-05-22

arxiv.org/abs/hep-th/9605157v2

Int.J.Mod.Phys. A12 (1997) 1895-1914

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, Latex, 1 Latex figure included. The figure has been corrected

Scientific paper

10.1142/S0217751X97001195

Starting from a field theoretical description of multicomponent anyons with mutual statistical interactions in the lowest Landau level, we construct a model of interacting chiral fields on the circle, with the energy spectrum characterized by a symmetric matrix $g_{\alpha\beta}$ with nonnegative entries. Being represented in a free form, the model provides a field theoretical realization of (ideal) fractional exclusion statistics for particles with linear dispersion, with $g_{\alpha\beta}$ as a statistics matrix. We derive the bosonized form of the model and discuss the relation to the effective low-energy description of the edge excitations for abelian fractional quantum Hall states in multilayer systems.

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