Effective quantum field theory for the thermodynamical Bethe ansatz. (English) Zbl 1435.81197
Summary: 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.
MSC:
| 81T45 | Topological field theories in quantum mechanics |
| 81R12 | Groups and algebras in quantum theory and relations with integrable systems |
| 81S40 | Path integrals in quantum mechanics |
| 80A10 | Classical and relativistic thermodynamics |
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