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Functional integrals in field theory

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

Abstract

Chronological vacuum mean quantum fields are constructed as states in appropriate commutative tensor algebras, which permits representing their generating functionals as Fourier transforms of measures in spaces of classical fields. These measures belong to a broader class than the functional integrals ordinarily applied in quantum field theory. This permits describing such nonperturbative processes as the Higgs vacuum. In particular, the phonon nature of the Higgs fields is predicted.

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Literature cited

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Author information

Authors and Affiliations

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

    O. A. Zakharov & G. A. Sardanashvili

Authors
  1. O. A. Zakharov
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  2. G. A. Sardanashvili
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 53–58, September, 1990.

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Zakharov, O.A., Sardanashvili, G.A. Functional integrals in field theory. Soviet Physics Journal 33, 765–768 (1990). https://doi.org/10.1007/BF00894899

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  • DOI: https://doi.org/10.1007/BF00894899

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