Field theory of anyons in the lowest Landau level

Abstract

We construct a field theory for anyons in the lowest Landau level starting from the $N$-particle description, and discuss the connection to the full field theory of anyons defined using a statistical gauge potential. The theory is transformed to free form, with the fields defined on the circle and satisfying modified commutation relations. The Fock space of the anyons is discussed, and the theory is related to that of edge excitations of an anyon droplet in a harmonic oscillator well.

27 pages (incl. 2 figs.) in standard Latex. Substantially revised version with a section on the connection to Luttinger liquids

References in corpus (5)

• Exchange Operator Formalism for Integrable Systems of Particles
• Explicit Solution to the N-Body Calogero Problem
• Fermions in the Lowest Landau Level: Bosonization, $W_{\infty }$ Algebra, Droplets, Chiral Boson
• The Calogero Model - Anyonic Representation, Fermionic Extension and Supersymmetry
• On $\delta$ perturbative interactions in the Aharonov-Bohm and Anyon Models

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• Exclusion Statistics in a trapped two-dimensional Bose gas
• Fractional exclusion statistics in general systems with interaction
• Quantum Hall Droplets on Disc and Effective Wess-Zumino-Witten Action for Edge States
• An ansatz for the exclusion statistics parameters in macroscopic physical systems described by fractional exclusion statistics
• Statistical mechanics and thermodynamics for multispecies exclusion statistics
• Composite anyons on a torus
• Exclusion Statistics in a two-dimensional trapped Bose gas
• Fractional exclusion statistics applied to relativistic nuclear matter
• Equation of State for Exclusion Statistics in a Harmonic Well
• Proposal for bulk measurement of braid statistics in fractional quantum Hall effect