Geodesic
Schwinger--Dyson approach to Liouville field theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 187 (2016) no. 3, pp. 519-530

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We discuss Liouville field theory in the framework of the Schwinger–Dyson approach and derive a functional equation for the three-point structure constant. We prove the existence of a second Schwinger–Dyson equation based on the duality between the screening charge operators and obtain a second functional equation for the structure constant. We use the system of these two equations to uniquely determine the structure constant.
Keywords: Liouville field theory, conformal field theory, three-point function, Schwinger–Dyson equation. 
@article{TMF_2016_187_3_a7,
     author = {P. Dutta},
     title = {Schwinger--Dyson approach to {Liouville} field theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {519--530},
     publisher = {mathdoc},
     volume = {187},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2016_187_3_a7/}
}
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P. Dutta. Schwinger--Dyson approach to Liouville field theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 187 (2016) no. 3, pp. 519-530. http://geodesic.mathdoc.fr/item/TMF_2016_187_3_a7/