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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
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