×

zbMATH — the first resource for mathematics

Introduction to the thermodynamic Bethe ansatz. (English) Zbl 1352.82008
The paper is a topical review, where the author gives a pedagogical introduction to the thermodynamic Bethe ansatz, a method that allows us to describe the thermodynamics of integrable models whose spectrum is found via the asymptotic Bethe ansatz. The author considers the one-dimensional Bose gas with delta function interaction as a clean pedagogical example, secondly the \(XXX\) spin chain as an elementary lattice model with prototypical complicating features in the form of bound states, and finally the \(\mathrm{SU}(2)\) chiral Gross-Neveu model as a field theory example.

MSC:
82B23 Exactly solvable models; Bethe ansatz
82B30 Statistical thermodynamics
82-02 Research exposition (monographs, survey articles) pertaining to statistical mechanics
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics
PDF BibTeX XML Cite
Full Text: DOI arXiv