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Unusual view of the Schwarzian theory

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arxiv 1806.05605 v1 pith:DWKR7XFR submitted 2018-06-14 hep-th

classification hep-th
keywords integralsschwarziantheorycalogerodecompositiondiffeo-fourierfunctional
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A decomposition of the Wiener measure based on its quasi-invariance under the group of diffeo- morphisms is proposed. As a result, functional integrals in the Schwarzian theory can be written as the Fourier transform of the integrals in a tahyonic model with the Calogero potential.

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  1. 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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