Fractional Exclusion Statistics and Anyons

Abstract

Do anyons, dynamically realized by the field theoretic Chern-Simons construction, obey fractional exclusion statistics? We find that they do if the statistical interaction between anyons and anti-anyons is taken into account. For this anyon model, we show perturbatively that the exchange statistical parameter of anyons is equal to the exclusion statistical parameter. We obtain the same result by applying the relation between the exclusion statistical parameter and the second virial coefficient in the non-relativistic limit.

9 pages, latex, IFT-498-UNC

References in corpus (4)

• Exact Dynamical Correlation Functions of Calogero-Sutherland Model and One-Dimensional Fractional Statistics
• Equation of State of an Anyon Gas in a Strong Magnetic Field
• Haldane exclusion statistics and second virial coefficient
• Equivalence of Several Chern-Simons Matter Models

Cited by in corpus (4)

• Spin-charge gauge approach to metal-insulator crossover and transport properties in High-T${}_c$ cuprates
• Properties of size-dependent models having quasiperiodic boundary conditions
• Hall effect, edge states and Haldane exclusion statistics in two-dimensional space
• Exclusion statistics,operator algebras and Fock space representations