Bootstrap approach to 1+1 dimensional integrable quantum field theories: the case of the SinhGordon model
Abstract
1+1 dimensional integrable quantum field theories correspond to a sparse subset of quantum field theories where the calculation of physically interesting observables can be brought to explicit, closed and manageable expressions thanks to the factorisability of the S matrices which govern the scattering in these models. In particular, the correlation functions are expressed in terms of explicit series of multiple integrals, this nonperturbatively for all values of the coupling. However, the question of convergence of these series, and thus the mathematical welldefiniteness of these correlators, is mostly open. This paper reviews the overall setting used to formulate such models and discusses the recent progress relative to solving the convergence issues in the case of the 1+1 dimensional massive integrable SinhGordon quantum field theory.
 Publication:

arXiv eprints
 Pub Date:
 December 2021
 arXiv:
 arXiv:2112.14274
 Bibcode:
 2021arXiv211214274K
 Keywords:

 Mathematical Physics;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems
 EPrint:
 21 pages, submitted to the proceedings of ICM 2022