On the S-matrix of Liouville theory

On the S-matrix of Liouville theory

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Abstract The S-matrix for each chiral sector of Liouville theory on a cylinder moen finney 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 harry potter magsafe case with other methods of computing the S-matrix, which are also developed.