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This article is cited in 29 scientific papers (total in 31 papers)
Asymptotic conditions and infrared divergences in quantum electrodynamics
P. P. Kulish, L. D. Faddeev
Abstract:
A definition which is free of infrared divergences is proposed for the $S$ matrix of a reiativistic theory of interacting charged particles. This is achieved by a modification of the asymptotic condition and the introduction of a new simce of asymptotic states. This state differs from the Fok space, but is separable and relatlvistically and gauge invariant. The mass operator has no nonvanishing discrete eigenvalues.
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Theoretical and Mathematical Physics, 1970, 4:2, 745–757
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Received: 23.03.1970
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P. P. Kulish, L. D. Faddeev, “Asymptotic conditions and infrared divergences in quantum electrodynamics”, TMF, 4:2 (1970), 153–170; Theoret. and Math. Phys., 4:2 (1970), 745–757
Citation in format AMSBIB
\Bibitem{KulFad70}
\by P.~P.~Kulish, L.~D.~Faddeev
\paper Asymptotic conditions and infrared divergences in quantum electrodynamics
\jour TMF
\yr 1970
\vol 4
\issue 2
\pages 153--170
\mathnet{http://mi.mathnet.ru/tmf4141}
\zmath{https://zbmath.org/?q=an:0197.26201}
\transl
\jour Theoret. and Math. Phys.
\yr 1970
\vol 4
\issue 2
\pages 745--757
\crossref{https://doi.org/10.1007/BF01066485}
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This publication is cited in the following articles:
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P. P. Kulish, “Asymptotic states of massive particles interacting with the gravitational field”, Theoret. and Math. Phys., 6:1 (1971), 18–23
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V. B. Matveev, “Invariance principle for generalized wave operators”, Theoret. and Math. Phys., 8:1 (1971), 663–667
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A. M. Veselova, “Determination of scattering amplitudes in problems with two and three charged particles”, Theoret. and Math. Phys., 13:3 (1972), 1200–1206
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Yu. S. Tyupkin, “Adiabatic definition of the $S$-matrix when infrared divergences are present”, Theoret. and Math. Phys., 11:2 (1972), 418–426
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L. D. Solov'ev, “Axiomatic method in quantum electrodynamics”, Theoret. and Math. Phys., 18:1 (1974), 1–8
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V. S. Gerdjikov, P. P. Kulish, “Low-energy for photons and infrared divergences”, Theoret. and Math. Phys., 18:1 (1974), 36–38
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V. S. Gerdjikov, P. P. Kulish, “Low-energy structure of the Feynman $S$-matrix”, Theoret. and Math. Phys., 21:2 (1974), 1065–1073
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V. V. Bazhanov, V. I. Borodulin, G. P. Pron'ko, L. D. Solov'ev, “Electron-monopole scattering through small angles in the quantum theory of the Dirac–Schwinger monopole”, Theoret. and Math. Phys., 40:3 (1979), 795–800
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N. V. Smolyakov, “Small-angle electron scattering on the Dirac–Schwinger monopole”, Theoret. and Math. Phys., 45:3 (1980), 1123–1125
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S. A. Anikin, O. I. Zavialov, N. I. Karchev, “Infrared divergences of Green's functions and renormalization in massless theories. I”, Theoret. and Math. Phys., 44:3 (1980), 751–760
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I. V. Krivchenkov, N. A. Sveshnikov, “Infrared divergences in a model related to the Heisenberg algebra”, Theoret. and Math. Phys., 56:2 (1983), 777–785
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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
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Ya. Z. Darbaidze, V. A. Matveev, Z. V. Merabashvili, L. A. Slepchenko, “Gluon bremsstrahlung in supersymmetric quantum chromodynamics”, Theoret. and Math. Phys., 69:2 (1986), 1175–1178
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P. P. Kulish, M. A. Sokolov, “Scattering theory in the massless Lee model”, Theoret. and Math. Phys., 73:1 (1987), 1121–1124
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I. V. Krivchenkov, N. A. Sveshnikov, “Asymptotic behavior of the propagator of the massive particle in a model associated with the Heisenberg algebra”, Theoret. and Math. Phys., 78:2 (1989), 154–162
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Yu. S. Osipov, A. A. Gonchar, S. P. Novikov, V. I. Arnol'd, G. I. Marchuk, P. P. Kulish, V. S. Vladimirov, E. F. Mishchenko, “Lyudvig Dmitrievich Faddeev (on his sixtieth birthday)”, Russian Math. Surveys, 50:3 (1995), 643–659
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Phys. Usp., 42:11 (1999), 1099–1120
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Bagan, E, “Charges from dressed matter: Construction”, Annals of Physics, 282:2 (2000), 471
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J. Math. Sci. (N. Y.), 128:2 (2005), 2711–2715
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N. M. Bogolyubov, E. V. Damaskinskii, “Kulish Petr Petrovich”, Voprosy kvantovoi teorii polya i statisticheskoi fiziki. 18, Zap. nauchn. sem. POMI, 317, POMI, SPb., 2004, 7–10
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D. V. Prokhorenko, “$ABC$ formula and $R$-operation for quantum processes with unstable states”, Theoret. and Math. Phys., 149:2 (2006), 1457–1473
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V. V. Borzov, “Generalized oscillator and its coherent states”, Theoret. and Math. Phys., 153:3 (2007), 1656–1670
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D. McMullan, “Charges in Gauge Theories”, SIGMA, 3 (2007), 035, 8 pp.
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“Osnovnye nauchnye trudy Petra Petrovicha Kulisha”, Voprosy kvantovoi teorii polya i statisticheskoi fiziki. 23, Zap. nauchn. sem. POMI, 433, POMI, SPb., 2015, 8–19
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