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Schwinger-Dyson approach to Liouville Field Theory (1404.5579v2)
Published 22 Apr 2014 in 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.
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