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.
- Publication:
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Nuclear Physics B
- Pub Date:
- February 1996
- DOI:
- 10.1016/0550-3213(96)00178-2
- arXiv:
- arXiv:hep-th/9412221
- Bibcode:
- 1996NuPhB.470..291H
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 27 pages (incl. 2 figs.) in standard Latex. Substantially revised version with a section on the connection to Luttinger liquids