Two and three-point functions in Liouville theory
High Energy Physics - Theory
2009-10-28 v3
Abstract
Based on our generalization of the Goulian-Li continuation in the power of the 2D cosmological term we construct the two and three-point correlation functions for Liouville exponentials with generic real coefficients. As a strong argument in favour of the procedure we prove the Liouville equation of motion on the level of three-point functions. The analytical structure of the correlation functions as well as some of its consequences for string theory are discussed. This includes a conjecture on the mass shell condition for excitations of noncritical strings. We also make a comment concerning the correlation functions of the Liouville field itself.
Keywords
Cite
@article{arxiv.hep-th/9403141,
title = {Two and three-point functions in Liouville theory},
author = {H. Dorn and H. -J. Otto},
journal= {arXiv preprint arXiv:hep-th/9403141},
year = {2009}
}
Comments
15 pages, Latex, Revised version: A sign error in formula (50) is corrected