Thermodynamic Bethe Ansatz with Haldane Statistics
A.G. Bytsko, A. Fring
TL;DR
This paper develops a thermodynamic Bethe ansatz framework incorporating Haldane statistics, exploring its implications for various particle models and deriving related Y-systems.
Contribution
It introduces a generalized thermodynamic Bethe ansatz for systems with Haldane statistics and formulates a macroscopical equivalence principle for such systems.
Findings
Derived TBA equations for Haldane statistics
Formulated Y-systems for generalized statistics
Analyzed models including affine Toda and Calogero-Sutherland
Abstract
We derive the thermodynamic Bethe ansatz equation for the situation inwhich the statistical interaction of a multi-particle system is governed by Haldane statistics. We formulate a macroscopical equivalence principle for such systems. Particular CDD-ambiguities play a distinguished role in compensating the ambiguity in the exclusion statistics. We derive Y-systems related to generalized statistics. We discuss several fermionic, bosonic and anyonic versions of affine Toda field theories and Calogero-Sutherland type models in the context of generalized statistics.
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