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Teoreticheskaya i Matematicheskaya Fizika, 1998, Volume 115, Number 3, Pages 358–372
DOI: https://doi.org/10.4213/tmf879
(Mi tmf879)
 

This article is cited in 8 scientific papers (total in 8 papers)

Using singular classical solutions for calculating multiparticle cross sections in field theory

F. L. Bezrukov

Institute for Nuclear Research, Russian Academy of Sciences
Full-text PDF (267 kB) Citations (8)
References:
Abstract: A method for reducing the problem of calculating multiparticle tree cross sections in $\varphi^4$ theory to the solution of a singular classical Euclidean boundary-value problem is introduced. The solutions are obtained numerically in terms of the spherical harmonic decomposition, and the corresponding estimates of the tree cross sections are found at arbitrary energies. Numerical analysis agrees with analytic results obtained earlier in the limiting cases of high and low energies.
Received: 28.01.1998
English version:
Theoretical and Mathematical Physics, 1998, Volume 115, Issue 3, Pages 647–657
DOI: https://doi.org/10.1007/BF02575488
Bibliographic databases:
Language: Russian
Citation: F. L. Bezrukov, “Using singular classical solutions for calculating multiparticle cross sections in field theory”, TMF, 115:3 (1998), 358–372; Theoret. and Math. Phys., 115:3 (1998), 647–657
Citation in format AMSBIB
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\by F.~L.~Bezrukov
\paper Using singular classical solutions for calculating multiparticle cross sections in field theory
\jour TMF
\yr 1998
\vol 115
\issue 3
\pages 358--372
\mathnet{http://mi.mathnet.ru/tmf879}
\crossref{https://doi.org/10.4213/tmf879}
\zmath{https://zbmath.org/?q=an:0991.81075}
\transl
\jour Theoret. and Math. Phys.
\yr 1998
\vol 115
\issue 3
\pages 647--657
\crossref{https://doi.org/10.1007/BF02575488}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000075883900003}
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  • https://www.mathnet.ru/eng/tmf879
  • https://doi.org/10.4213/tmf879
  • https://www.mathnet.ru/eng/tmf/v115/i3/p358
  • This publication is cited in the following 8 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
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    Abstract page:265
    Full-text PDF :172
    References:38
    First page:1
     
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