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High Energy Physics - Theory, hep-th
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.