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Teoreticheskaya i Matematicheskaya Fizika, 1980, Volume 44, Number 3, Pages 291–306 (Mi tmf3618)  

This article is cited in 20 scientific papers (total in 20 papers)

Infrared divergences of Green's functions and renormalization in massless theories. I

S. A. Anikin, O. I. Zavialov, N. I. Karchev
References:
Abstract: Theorems about the infrared convergence of Green's functions in an arbitrary theory including massless particles are formulated. Renormalization procedure in such theories is discussed.
Received: 06.12.1979
English version:
Theoretical and Mathematical Physics, 1980, Volume 44, Issue 3, Pages 751–760
DOI: https://doi.org/10.1007/BF01029039
Bibliographic databases:
Language: Russian
Citation: S. A. Anikin, O. I. Zavialov, N. I. Karchev, “Infrared divergences of Green's functions and renormalization in massless theories. I”, TMF, 44:3 (1980), 291–306; Theoret. and Math. Phys., 44:3 (1980), 751–760
Citation in format AMSBIB
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\by S.~A.~Anikin, O.~I.~Zavialov, N.~I.~Karchev
\paper Infrared divergences of~Green's functions and renormalization in~massless theories.~I
\jour TMF
\yr 1980
\vol 44
\issue 3
\pages 291--306
\mathnet{http://mi.mathnet.ru/tmf3618}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=596204}
\transl
\jour Theoret. and Math. Phys.
\yr 1980
\vol 44
\issue 3
\pages 751--760
\crossref{https://doi.org/10.1007/BF01029039}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980LP32400001}
Linking options:
  • https://www.mathnet.ru/eng/tmf3618
  • https://www.mathnet.ru/eng/tmf/v44/i3/p291
    Cycle of papers
    This publication is cited in the following 20 articles:
    1. S.A. Volkov, “Infrared and ultraviolet power counting on the mass shell in quantum electrodynamics”, Nuclear Physics B, 961 (2020), 115232  crossref
    2. É. Yu. Lerner, “Feynman integrals of p-adic argument in momentum space III. Renormalization”, Theoret. and Math. Phys., 106:2 (1996), 195–208  mathnet  crossref  crossref  mathscinet  zmath  isi
    3. O. I. Zavialov, “Bogolyubov's R-operation and the Bogolyubov–Parasyuk theorem”, Russian Math. Surveys, 49:5 (1994), 67–76  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    4. R. Rączka, “A temporarily freeSU 6 gauge field theory model for strong interactions”, Nuov Cim A, 98:3 (1987), 297  crossref
    5. A. Yu. Kamenshchik, N. A. Sveshnikov, “Infrared divergences in theories with massless scalar and spinor fields”, Theoret. and Math. Phys., 66:2 (1986), 115–123  mathnet  crossref  mathscinet  isi
    6. S.A. Anikin, V.A. Smirnov, “Operator product expansion in the Weinberg renormalization scheme and factorization”, Nuclear Physics B, 263:2 (1986), 325  crossref
    7. Pawel Maślanka, “The BPHZ Theorem for Massless Fields”, Annalen der Physik, 498:1-2 (1986), 45  crossref
    8. V. A. Smirnov, K. G. Chetyrkin, “R operation in the minimal subtraction scheme”, Theoret. and Math. Phys., 63:2 (1985), 462–469  mathnet  crossref  mathscinet  isi
    9. K. G. Chetyrkin, V. A. Smirnov, “Counterterm technique in the case of Lagrangians and currents without normal ordering”, Theoret. and Math. Phys., 64:3 (1985), 894–897  mathnet  crossref  mathscinet  isi
    10. S. A. Anikin, V. A. Smirnov, “Wilson expansion and factorization”, Theoret. and Math. Phys., 64:3 (1985), 898–903  mathnet  crossref  mathscinet  isi
    11. V. A. Smirnov, “Feynman Amplitudes as Tempered Distributions”, Fortschr. Phys., 33:9 (1985), 495  crossref
    12. S. A. Anikin, V. A. Smirnov, “Renormalization and Operator Product Expansion in Theories with Massless Particles”, Fortschr. Phys., 33:9 (1985), 523  crossref
    13. S. A. Anikin, V. A. Smirnov, “The R operation in theories with massless particles”, Theoret. and Math. Phys., 60:1 (1984), 664–670  mathnet  crossref  mathscinet  isi
    14. V. A. Smirnov, “Absolutely convergent α representation of analytically and dimensionally regularized Feynman amplitudes”, Theoret. and Math. Phys., 59:3 (1984), 563–573  mathnet  crossref  mathscinet  isi
    15. V. K. Krivoshchekov, P. B. Medvedev, “1/N expansion in the supersymmetric CPN1 model”, Theoret. and Math. Phys., 58:1 (1984), 1–16  mathnet  crossref  isi
    16. S. A. Anikin, M. Bordag, O. I. Zavialov, “Infrared divergences of Green's functions and renormalization in massless theories. III”, Theoret. and Math. Phys., 56:2 (1983), 741–745  mathnet  crossref  mathscinet  isi
    17. William E. Caswell, A. D. Kennedy, “Asymptotic behavior of Feynman integrals: Convergent integrals”, Phys. Rev. D, 28:12 (1983), 3073  crossref
    18. S. A. Anikin, V. A. Smirnov, “Analytic renormalization of massless theories”, Theoret. and Math. Phys., 51:1 (1982), 317–321  mathnet  crossref  mathscinet  isi
    19. S. A. Anikin, O. I. Zavialov, N. I. Karchev, “Infrared divergences of Green's functions and renormalization in massless theories. II”, Theoret. and Math. Phys., 46:1 (1981), 1–17  mathnet  crossref  mathscinet  isi
    20. V. A. Smirnov, “In frared and ultraviolet divergences of the coefficient functions of Feynman diagrams as tempered distributions. II”, Theoret. and Math. Phys., 46:2 (1981), 132–140  mathnet  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
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