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arXiv · 2011.06876

On the S-matrix of Liouville theory

George Jorjadze·Stefan Theisen
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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.

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George Jorjadze, Stefan Theisen. 2020-11-13. On the S-matrix of Liouville theory. https://doi.org/10.1007/jhep02(2021)111

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