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.
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
This publication is cited in the following 20 articles:
S.A. Volkov, “Infrared and ultraviolet power counting on the mass shell in quantum electrodynamics”, Nuclear Physics B, 961 (2020), 115232
É. Yu. Lerner, “Feynman integrals of p-adic argument in momentum space III. Renormalization”, Theoret. and Math. Phys., 106:2 (1996), 195–208
O. I. Zavialov, “Bogolyubov's R-operation and the Bogolyubov–Parasyuk theorem”, Russian Math. Surveys, 49:5 (1994), 67–76
R. Rączka, “A temporarily freeSU 6 gauge field theory model for strong interactions”, Nuov Cim A, 98:3 (1987), 297
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
S.A. Anikin, V.A. Smirnov, “Operator product expansion in the Weinberg renormalization scheme and factorization”, Nuclear Physics B, 263:2 (1986), 325
Pawel Maślanka, “The BPHZ Theorem for Massless Fields”, Annalen der Physik, 498:1-2 (1986), 45
V. A. Smirnov, K. G. Chetyrkin, “R∗ operation in the minimal subtraction scheme”, Theoret. and Math. Phys., 63:2 (1985), 462–469
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
S. A. Anikin, V. A. Smirnov, “Wilson expansion and factorization”, Theoret. and Math. Phys., 64:3 (1985), 898–903
V. A. Smirnov, “Feynman Amplitudes as Tempered Distributions”, Fortschr. Phys., 33:9 (1985), 495
S. A. Anikin, V. A. Smirnov, “Renormalization and Operator Product Expansion in Theories with Massless Particles”, Fortschr. Phys., 33:9 (1985), 523
S. A. Anikin, V. A. Smirnov, “The R operation in theories with massless particles”, Theoret. and Math. Phys., 60:1 (1984), 664–670
V. A. Smirnov, “Absolutely convergent α representation of analytically and dimensionally regularized Feynman amplitudes”, Theoret. and Math. Phys., 59:3 (1984), 563–573
V. K. Krivoshchekov, P. B. Medvedev, “1/N expansion in the supersymmetric CPN−1 model”, Theoret. and Math. Phys., 58:1 (1984), 1–16
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
William E. Caswell, A. D. Kennedy, “Asymptotic behavior of Feynman integrals: Convergent integrals”, Phys. Rev. D, 28:12 (1983), 3073
S. A. Anikin, V. A. Smirnov, “Analytic renormalization of massless theories”, Theoret. and Math. Phys., 51:1 (1982), 317–321
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
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