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.
Keywords
Cite
@article{arxiv.1911.07343,
title = {Effective Quantum Field Theory for the Thermodynamical Bethe Ansatz},
author = {Ivan Kostov},
journal= {arXiv preprint arXiv:1911.07343},
year = {2022}
}
Comments
22 pages, 4 figures, typos corrected