Soviet Physics Journal

, Volume 33, Issue 9, pp 765–768 | Cite as

Functional integrals in field theory

  • O. A. Zakharov
  • G. A. Sardanashvili
Elementary Particle Physics and Field Theory


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.


Fourier Fourier Transform Field Theory Generate Functional Broad Class 
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Literature cited

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Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • O. A. Zakharov
    • 1
  • G. A. Sardanashvili
    • 1
  1. 1.M. V. Lomonosov Moscow State UniversityUSSR

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