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arXiv · hep-th/0304260

TBA equations for excited states in the Sine-Gordon model

J. Balog·A. Hegedus
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Abstract

We propose TBA integral equations for multiparticle soliton (fermion) states in the Sine-Gordon (massive Thirring) model. This is based on T-system and Y-system equations, which follow from the Bethe Ansatz solution in the light-cone lattice formulation of the model. Even and odd charge sectors are treated on an equal footing, corresponding to periodic and twisted boundary conditions, respectively. The analytic properties of the Y-system functions are conjectured on the basis of the large volume solution of the system, which we find explicitly. A simple relation between the TBA Y-functions and the counting function variable of the alternative non-linear integral equation (Destri-deVega equation) description of the model is given.

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J. Balog, A. Hegedus. 2003-09-12. TBA equations for excited states in the Sine-Gordon model. https://doi.org/10.1088/0305-4470%2F37%2F5%2F028

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