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- Title
Coulomb integrals in Liouville theory and Liouville gravity.
- Authors
Fateev, V.A.; Litvinov, A.V.
- Abstract
The four-point correlation function has been studied in Liouville field theory. If one of the fields is degenerate, such a function is described in terms of Coulomb integrals. Some nontrivial relations for these integrals have been found that can be used to obtain new exact results in conformal field theory. In particular, a four-point correlation function has been calculated in minimal quantum gravity. The result agrees with the results obtained recently by different methods [A. A. Belavin and A. B. Zamolodchikov, JETP Lett. 82, 7 (2005); Theor. Math. Phys. 147, 729 (2006); A. B. Zamolodchikov, Theor. Math. Phys. 142, 183 (2005); I. K. Kostov and V. B. Petkova, Theor. Math. Phys. 146, 108 (2006)].
- Subjects
COULOMB functions; FIELD theory (Physics); INTEGRALS; QUANTUM gravity; GENERAL relativity (Physics)
- Publication
JETP Letters, 2007, Vol 84, Issue 10, p531
- ISSN
0021-3640
- Publication type
Article
- DOI
10.1134/S0021364006220012