Thermodynamic Bethe Ansatz with Haldane Statistics

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.

21 pages latex+3 figures. minor typos corrected/references added

References in corpus (1)

• Anyonic Interpretation of Virasoro Characters and the Thermodynamic Bethe Ansatz

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