Schwinger-Dyson approach to Liouville Field Theory

Abstract

We discuss Liouville field theory in the framework of Schwinger-Dyson approach and derive a functional equation for the three-point structure constant. We argue the existence of a second Schwinger-Dyson equation on the basis of the duality between the screening charge operators and obtain a second functional equation for the structure constant. We discuss the utility of the two functional equations to fix the structure constant uniquely.

References in corpus (3)

• On the Liouville three-point function
• A lecture on the Liouville vertex operators
• Correlation Functions and Vertex Operators of Liouville Theory

Cited by in corpus (1)

• Some insights in the structure of correlation functions in Liouville and Toda field theories