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A quantum field theory in momentum space of constant curvature

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Abstract

The model of a polarization operator in the “rainbow” diagram approximation in momentum space of constant curvature is studied. An integral equation is obtained for the absorptive component of the hadron polarization operator in a stereographic parametrization of the de Sitter space. The solution of the integral equation is found for the case of zero mass of the exchange particle. The sections and mean multiplicity of hadron generation in e+e− annihilation are calculated. The infrared divergences which develop in an exact summation of the class of diagrams considered here manifest themselves as a multiplicative renormalization constant.

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Literature cited

  1. V. G. Kadyshevskii, Preprint Ob'ed. Inst. Yadern. Issled. R2-5715, Dubna (1971).

  2. V. G. Kadyshevskii, in: Problems in Theoretical Physics, in Memoriam I. E. Tamm [in Russian], Nauka (1972).

  3. I. P. Volobuev, V. G. Kadyshevskii, M. D. Mateev, and R. M. Mir-Kasimov, Teor. Mat. Fiz.,40, No. 3 (1979).

  4. V. G. Kadyshevskii, Dokl. Akad. Nauk SSSR,147, No. 3 (1962).

  5. S. A. Gadzheev, A. I. Livashvili, and V. A. Petrosyan, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 11 (1979).

  6. S. A. Gadzhiev and V. A. Petrosyan, Collected Studies of S. M. Kirov Azerbaidzhan State University: Atomic and Elementary Particle Physics [in Russian] (1980).

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Authors and Affiliations

  1. S. M. Kirov Azerbaidzhan State University, USSR

    S. A. Gadzhiev & V. A. Petrosyan

Authors
  1. S. A. Gadzhiev
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  2. V. A. Petrosyan
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 20–24, September, 1981.

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Gadzhiev, S.A., Petrosyan, V.A. A quantum field theory in momentum space of constant curvature. Soviet Physics Journal 24, 796–800 (1981). https://doi.org/10.1007/BF00891322

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  • DOI: https://doi.org/10.1007/BF00891322

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