TBA and tree expansion
Ivan Kostov, Didina Serban, Dinh-Long Vu

TL;DR
This paper introduces a statistical derivation of the Thermodynamic Bethe Ansatz using tree expansion of the Gaudin determinant, successfully reproducing key physical quantities in integrable models.
Contribution
It presents a novel, tree expansion-based method for deriving the Thermodynamic Bethe Ansatz, applicable to theories with diagonal scattering.
Findings
Reproduces free energy density expressions
Derives finite size corrections for excited states
Obtains LeClair-Mussardo series for local operators
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
