Effective Quantum Field Theory for the Thermodynamical Bethe Ansatz

Abstract

We construct an effective Quantum Field Theory for the wrapping effects in 1+1 dimensional models of factorised scattering. The recently developed graph-theoretical approach to TBA gives the perturbative desctiption of this QFT. For the sake of simplicity we limit ourselves to scattering matrices for a single neutral particle and no bound state poles, such as the sinh-Gordon one. On the other hand, in view of applications to AdS/CFT, we do not assume that the scattering matrix is of difference type. The effective QFT involves both bosonic and fermionic fields and possesses a symmetry which makes it one-loop exact. The corresponding path integral localises to a critical point determined by the TBA equation.

22 pages, 4 figures, typos corrected

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• Crosscap States in Integrable Field Theories and Spin Chains
• Giant Wilson Loops and AdS${}_2$/dCFT${}_1$
• Functional Equations and Separation of Variables for Exact g-Function
• Naturalness-motivated composite Higgs model for generating the top Yukawa coupling
• TCSA and the finite volume boundary state
• Two-dimensional massive integrable models on a torus