Correlation functions in the Schwarzian theory

E.T. Shavgulidze; V.V. Belokurov

Correlation functions in the Schwarzian theory

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arxiv 1804.00424 v2 pith:WJJ64XNI submitted 2018-04-02 hep-th

V.V. Belokurov , E.T. Shavgulidze This is my paper · ORCID

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keywords schwarziantheorycorrelationevaluatefunctionsgroupsapplicationapproach

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A mathematically correct approach to study theories with infinite-dimensional groups of symmetries is presented. It is based on quasi-invariant measures on the groups. In this paper, the properties of the measure on the group of diffeomorphisms are used to evaluate the functional integrals in the Schwarzian theory. As an important example of the application of the new technique, we explicitly evaluate the correlation functions in the Schwarzian theory.

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Schwarzian functional integrals calculus
hep-th 2019-08 conditional novelty 6.0 of 10

Schwarzian functional integrals over Diff^1_+(S^1)/SL(2,R) are reduced to ordinary integrals, giving two- and four-point correlators that do not factorize into two-point products.

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