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Effective potential for the four-fermion interaction in topologically non-trivial spaces

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

Abstract

We consider the influence of the space-time topology on the formation of a fermion condensate in a theory with a four-fermion interaction. We study the dependence of the behavior of the effective potential on the magnitude of the fermion condensate 〈¯ψψ〉 and find the dependence of the magnitude 〈¯ψψ〉 on the periodicity length of the wave functions in space-time with the topology R1 × R1 × S1.

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Authors and Affiliations

  1. V. I. Lenin Pedagogical Institute, Moscow

    I. K. Kulikov

Authors
  1. I. K. Kulikov
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 5–8, March, 1988.

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Kulikov, I.K. Effective potential for the four-fermion interaction in topologically non-trivial spaces. Soviet Physics Journal 31, 177–179 (1988). https://doi.org/10.1007/BF00898216

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  • DOI: https://doi.org/10.1007/BF00898216

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