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1D generalized statistics gas: A gauge theory approach

Silvio J. Rabello
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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.

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Silvio J. Rabello. 1995-09-22. 1D generalized statistics gas: A gauge theory approach. https://doi.org/10.1103/physrevlett.76.4007

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