1D generalized statistics gas: A gauge theory approach

Abstract

A field theory with generalized statistics in one space dimension is introduced. The statistics enters the scene through the coupling of the matter fields to a statistical gauge field, as it happens in the Chern-Simons theory in two dimensions. We study the particle-hole excitations and show that the long wave length physics of this model describes a gas obeying the Haldane generalized exclusion statistics. The statistical interaction is found to provide a way to describe the low-T critical properties of one-dimensional non-Fermi liquids.

8 pages, revtex

References in corpus (2)

• Bosonization of One-Dimensional Exclusons and Characterization of Luttinger Liquids
• Ground state wave functionals for $1+1$-dimensional fermion field theories

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