1D generalized statistics gas: A gauge theory approach

TL;DR

This paper introduces a one-dimensional field theory with generalized statistics via a gauge field coupling, revealing its connection to Haldane exclusion statistics and non-Fermi liquid behavior.

Contribution

It presents a novel gauge theory framework for generalized statistics in 1D, linking it to low-temperature critical phenomena in non-Fermi liquids.

Findings

Long wavelength physics matches Haldane exclusion statistics.

Statistical interaction models low-T critical properties.

Provides a gauge theory approach to generalized statistics.

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.