Unified approach to the SU(2) Principal Chiral Field model at Finite Volume

Details Unified approach to the SU(2) Principal Chiral Field model at Finite Volume Unified approach to the SU(2) Principal Chiral Field model at Finite Volume

2010-12-12

arxiv.org/abs/1012.2600v1

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, 6 figures

Scientific paper

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.

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