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Four-fermion model with breaking of chiral symmetry and CP parity

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

Abstract

A CP-odd, chirally noninvariant four-fermion model with three coupling constants is studied by an effective-potential method. The mass spectrum of the fermion and of the collective scalar and pseudoscalar fields is found. In the particular case of a chirally invariant model, the pseudoscalar field becomes a massless Goldstone field. The complete effective action, which has the form of a σ-model, is calculated in the single-loop approximation. The Gell-Mann-Levy method is used to find the axial current. Partial conservation of axial current is demonstrated. It is thus shown that the original model reproduces the basic features of non-perturbative quantum chromodynamics: a breaking of chiral symmetry and of CP parity.

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Authors and Affiliations

  1. S. M. Kirov Belorussian Technological Institute, USSR

    S. I. Kruglov

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  1. S. I. Kruglov
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 5–10, June, 1989.

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Kruglov, S.I. Four-fermion model with breaking of chiral symmetry and CP parity. Soviet Physics Journal 32, 413–417 (1989). https://doi.org/10.1007/BF00898619

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  • DOI: https://doi.org/10.1007/BF00898619

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