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Teoreticheskaya i Matematicheskaya Fizika, 2019, Volume 200, Number 3, Pages 465–477
DOI: https://doi.org/10.4213/tmf9677 (Mi tmf9677) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Polar decomposition of the Wiener measure: Schwarzian theory versus conformal quantum mechanics

V. V. Belokurovab, E. T. Shavgulidzea

a Lomonosov Moscow State University, Moscow, Russia
b Institute for Nuclear Research, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (468 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf9677
Abstract: We find an explicit form of the polar decomposition of the Wiener measure and obtain an equation relating functional integrals in conformal quantum mechanics to functional integrals in the Schwarzian theory. Using this relation, we evaluate some nontrivial functional integrals in the Schwarzian theory and also find the fundamental solution of the Schrödinger equation in imaginary time in the model of conformal quantum mechanics.
Keywords: Wiener measure, functional integral over the group of diffeomorphisms.
Received: 14.12.2018
Revised: 14.12.2018
English version:
Theoretical and Mathematical Physics, 2019, Volume 200, Issue 3, Pages 1324–1334
DOI: https://doi.org/10.1134/S004057791909006X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Belokurov, E. T. Shavgulidze, “Polar decomposition of the Wiener measure: Schwarzian theory versus conformal quantum mechanics”, TMF, 200:3 (2019), 465–477; Theoret. and Math. Phys., 200:3 (2019), 1324–1334
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf9677
  • https://www.mathnet.ru/eng/tmf/v200/i3/p465
    • This publication is cited in the following 3 articles:
    1. I. Masterov, M. Masterova, “Coupling-constant metamorphosis in Sl(2,R) -invariant systems”, J. Geom. Phys., 168 (2021), 104320  crossref  mathscinet  isi  scopus
    2. V. V. Belokurov, E. T. Shavgulidze, “Functional integration over the factor-space diff(+)(1)(s-1)/sl(2, R)”, Phys. Part. Nuclei, 51:4 (2020), 424–428  crossref  isi
    3. V. V. Belokurov, E. T. Shavgulidze, “Schwarzian functional integrals calculus”, J. Phys. A-Math. Theor., 53:48 (2020), 485201  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :104
    References:42
    First page:13
     
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