Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2014, Volume 285, Pages 37–40
DOI: https://doi.org/10.1134/S0371968514020046 (Mi tm3543) 		 
On a model of quantum field theory

I. Ya. Aref'eva, I. V. Volovich

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Full-text PDF (132 kB)
References:
PDF
HTML
DOI: https://doi.org/10.1134/S0371968514020046
Abstract: A model of quantum field theory in an accelerated frame of reference is considered. It was suggested by Unruh that a uniformly accelerated detector in vacuum would perceive a noise with a thermal Gibbsian distribution. However, in justifying the assertion a singular transformation was implicitly performed, and doubts were expressed by some researches. We discuss a model of quantum field theory in an accelerated frame of reference in the two-dimensional spacetime for the wave equation. By using the Mellin transform, we obtain a representation of solutions of the wave equation. The representation includes a dependence on a parameter. The Unruh field corresponds to a singular limit of the representation.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00894-a
The work of the first author was supported in part by the Russian Foundation for Basic Research, project no. 11-01-00894-a.
Received in February 2014
English version:
Proceedings of the Steklov Institute of Mathematics, 2014, Volume 285, Pages 30–33
DOI: https://doi.org/10.1134/S008154381404004X
Bibliographic databases:
Document Type: Article
UDC: 531.1
Language: Russian
Citation: I. Ya. Aref'eva, I. V. Volovich, “On a model of quantum field theory”, Selected topics of mathematical physics and analysis, Collected papers. In commemoration of the 90th anniversary of Academician Vasilii Sergeevich Vladimirov's birth, Trudy Mat. Inst. Steklova, 285, MAIK Nauka/Interperiodica, Moscow, 2014, 37–40; Proc. Steklov Inst. Math., 285 (2014), 30–33
Citation in format AMSBIB
\Bibitem{AreVol14}
\by I.~Ya.~Aref'eva, I.~V.~Volovich
\paper On a~model of quantum field theory
\inbook Selected topics of mathematical physics and analysis
\bookinfo Collected papers. In commemoration of the 90th anniversary of Academician Vasilii Sergeevich Vladimirov's birth
\serial Trudy Mat. Inst. Steklova
\yr 2014
\vol 285
\pages 37--40
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3543}
\crossref{https://doi.org/10.1134/S0371968514020046}
\elib{https://elibrary.ru/item.asp?id=21726840}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2014
\vol 285
\pages 30--33
\crossref{https://doi.org/10.1134/S008154381404004X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000339949700004}
\elib{https://elibrary.ru/item.asp?id=24048426}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84926314765}
Linking options:
  • https://www.mathnet.ru/eng/tm3543
  • https://doi.org/10.1134/S0371968514020046
  • https://www.mathnet.ru/eng/tm/v285/p37
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Statistics & downloads:
    Abstract page:400
    Full-text PDF :66
    References:76
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024