English

Thermodynamic Bethe Ansatz with Haldane Statistics

High Energy Physics - Theory 2009-10-31 v2 Condensed Matter

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.

Keywords

Cite

@article{arxiv.hep-th/9803005,
  title  = {Thermodynamic Bethe Ansatz with Haldane Statistics},
  author = {A. G. Bytsko and A. Fring},
  journal= {arXiv preprint arXiv:hep-th/9803005},
  year   = {2009}
}

Comments

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

R2 v1 2026-07-22T16:09:23.924Z