2010/12/12 by João Caetano, Caetano, Joao · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Physics of Superconductivity and Magnetism
paper · pdf · doi:10.48550/arxiv.1012.2600
openalex publication_date 2010/12/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Typically, the exact ground state energy of integrable models at finite volume can be computed using two main methods: the thermodynamic Bethe ansatz approach and the lattice discretization technique. For quantum sigma models (with non-ultra local Poisson structures) the bridge between these two approaches has only been done through numerical methods. We briefly review these two techniques on the example of the SU(2) principal chiral field model and derive a single integral equation based on the Faddeev-Reshetikhin discretization of the model. We show that this integral equation is equivalent to the single integral equation of Gromov, Kazakov and Vieira derived from the TBA approach.