TBA and tree expansion

Ivan Kostov, Didina Serban, Dinh Long Vu

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We propose an alternative, statistical, derivation of the Thermodynamic Bethe Ansatz based on the tree expansion of the Gaudin determinant. We illustrate the method on the simplest example of a theory with diagonal scattering and no bound states. We reproduce the expression for the free energy density and the finite size corrections to the energy of an excited state as well as the LeClair-Mussardo series for the one-point function for local operators.

Original languageEnglish
Title of host publicationQuantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 2 - QTS-X/LT-XII, 2017
EditorsVladimir Dobrev
PublisherSpringer New York LLC
Pages77-98
Number of pages22
ISBN (Print)9789811321788
DOIs
Publication statusPublished - 1 Jan 2018
Externally publishedYes
EventInternational Symposium on Quantum Theory and Symmetries, QTS-X and XII 2017 and International Workshop on Lie Theory and Its Applications in Physics, LT-XII 2017 - Varna, Bulgaria
Duration: 19 Jun 201725 Jun 2017

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume255
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

ConferenceInternational Symposium on Quantum Theory and Symmetries, QTS-X and XII 2017 and International Workshop on Lie Theory and Its Applications in Physics, LT-XII 2017
Country/TerritoryBulgaria
CityVarna
Period19/06/1725/06/17

Keywords

  • Integrable models
  • Matrix-tree theorem
  • Thermodynamic Bethe Ansatz

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