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Green function renormalization in SU(2)L ⊗ U(1) four-fermion model

  • Physics of Elementary Particles and Field Theory
  • Published:
Soviet Physics Journal Aims and scope

Abstract

Using the Dyson-Schwinger equation, the four-fermion Green functions in one-loop approximation to the SU(2)L ⊗ U(1) four-fermion model are found, as well as corrections to them. An expression is obtained for the collective field propagator in the one-loop approximation, and its regularization is performed. In the model under consideration, collective excitations are identified with a massless Goldstone field and a massive scalar field. It is shown that as a result of the reconstruction of the vacuum, one fermion (the analog of the neutrino) is massless, while the other (the analog of the electron), massive.

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Authors and Affiliations

  1. Physics Institute, Academy of Sciences of the Belorussian SSR, USSR

    A. A. Bogush, S. I. Kruglov & N. N. Karpuk

Authors
  1. A. A. Bogush
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  2. S. I. Kruglov
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  3. N. N. Karpuk
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 19–23, January, 1984.

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Bogush, A.A., Kruglov, S.I. & Karpuk, N.N. Green function renormalization in SU(2)L ⊗ U(1) four-fermion model. Soviet Physics Journal 27, 14–18 (1984). https://doi.org/10.1007/BF00896402

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  • DOI: https://doi.org/10.1007/BF00896402

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