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On the S-matrix of Liouville theory

MPS-Authors

Jorjadze ,  George
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Theisen,  Stefan
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

2011.06876.pdf
(Preprint), 292KB

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Citation

Jorjadze, G., & Theisen, S. (in preparation). On the S-matrix of Liouville theory.


Cite as: http://hdl.handle.net/21.11116/0000-0007-80E5-5
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.