Correlation functions in Liouville theory
Nov, 19909 pages
Published in:
- Phys.Rev.Lett. 66 (1991) 2051-2055
Report number:
- UCSB-TH-90-61
Citations per year
Abstract: (APS)
We show that after integrating over the zero mode in Liouville correlation functions, the remaining functional integral resembles a free theory and may be evaluated by formally continuing the central charge. We apply this technique to the unitary minimal models coupled to gravity on the sphere, computing a number of three-point functions. After taking into account the normalizations of operators and the functional integral, we find exact agreement between the Liouville three-point functions and the results from matrix models.- quantum gravity: continuum limit
- field theory: Liouville
- correlation function
- path integral
- central charge
- partition function
- two-point function
- vertex function
- model: minimal
- unitarity
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