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Analytic properties of the Green's functions with respect to the coupling constant in an exactly solvable model of field theory

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Abstract

It is found in an exactly solvable model of field theory that Green's functions for boson fields are analytic in the coupling constant, except for a cut along the real semiaxis. In the case of fermion fields, Green's functions are analytic in the coupling constant near zero.

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Literature cited

  1. L. N. Lipatov, Zh. Eksp. Teor. Fiz.,72, 411 (1977).

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  2. F. A. Berezin, Second Quantization Method [in Russian], Nauka, Moscow (1965).

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    N. V. Krasnikov, V. A. Rubakov & V. F. Tokarev

  2. Institute of Nuclear Research, Academy of Sciences of the USSR, USSR

    N. V. Krasnikov, V. A. Rubakov & V. F. Tokarev

Authors
  1. N. V. Krasnikov
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  2. V. A. Rubakov
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  3. V. F. Tokarev
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 28–30, November, 1978.

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Krasnikov, N.V., Rubakov, V.A. & Tokarev, V.F. Analytic properties of the Green's functions with respect to the coupling constant in an exactly solvable model of field theory. Soviet Physics Journal 21, 1410–1412 (1978). https://doi.org/10.1007/BF00890345

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  • DOI: https://doi.org/10.1007/BF00890345

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