TBA equations for excited states in the Sine-Gordon model

Details TBA equations for excited states in the Sine-Gordon model TBA equations for excited states in the Sine-Gordon model

2003-04-30

arxiv.org/abs/hep-th/0304260v3

J.Phys.A37:1903-1925,2004

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, latex, minor changes

Scientific paper

10.1088/0305-4470/37/5/028

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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