On the S-matrix of Liouville theory
High Energy Physics - Theory
2021-03-17 v1
Abstract
The S-matrix for each chiral sector of Liouville theory on a cylinder is computed from the loop expansion of correlation functions of a one-dimensional field theory on a circle with a non-local kinetic energy and an exponential potential. This action is the Legendre transform of the generating function of semiclassical scattering amplitudes. It is derived from the relation between asymptotic in- and out-fields. Its relevance for the quantum scattering process is demonstrated by comparing explicit loop diagrams computed from this action with other methods of computing the S-matrix, which are also developed.
Cite
@article{arxiv.2011.06876,
title = {On the S-matrix of Liouville theory},
author = {George Jorjadze and Stefan Theisen},
journal= {arXiv preprint arXiv:2011.06876},
year = {2021}
}