Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{BelSha19}
\by V.~V.~Belokurov, E.~T.~Shavgulidze
\paper Polar decomposition of the~Wiener measure: Schwarzian theory versus conformal quantum mechanics
\jour TMF
\yr 2019
\vol 200
\issue 3
\pages 465--477
\mathnet{http://mi.mathnet.ru/tmf9677}
\crossref{https://doi.org/10.4213/tmf9677}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4017622}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2019TMP...200.1324B}
\elib{https://elibrary.ru/item.asp?id=41692847}
\transl
\jour Theoret. and Math. Phys.
\yr 2019
\vol 200
\issue 3
\pages 1324--1334
\crossref{https://doi.org/10.1134/S004057791909006X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000488949100006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85073257921}
Linking options:
  • https://www.mathnet.ru/eng/tmf9677
  • https://doi.org/10.4213/tmf9677
  • https://www.mathnet.ru/eng/tmf/v200/i3/p465
    • This publication is cited in the following 3 articles:
    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
    Statistics & downloads:
    Abstract page:264
    Full-text PDF :58
    References:22
    First page:13
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024