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S-matrix, vertex operators and correlation functions of Liouville theory

✍ Scribed by G. Jorjadze

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
109 KB
Volume
52
Category
Article
ISSN
0015-8208

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✦ Synopsis

Abstract

We investigate the S‐matrix of Liouville theory on the basis of exact relation between exponentials of the in‐ and out‐fields. The vertex operators for negative integer exponentials are constructed by regularising procedure. Their vacuum matrix elements are calculated using Dotsenko‐Fateev integrals. The result is continued analytically to the generic case. The obtained correlation function coincides with the suggested 3‐point function of Dorn and Otto for positive exponentials only.

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