Letters in Mathematical Physics

, Volume 3, Issue 1, pp 67–72 | Cite as

Completely integrable theories as theories of spontaneous breakdown

  • B. G. Konopelchenko
Article

Abstract

It is shown that the field theory described by a completely integrable equation (in particular, the theory of any free field) is the theory of spontaneous breakdown of symmetry under certain infinite dynamical group, the corresponding field being the Goldstone field by which this breakdown is accompanied.

Keywords

Statistical Physic Field Theory Integrable Equation Group Theory Integrable Theory 

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Copyright information

© D. Reidel Publishing Company 1979

Authors and Affiliations

  • B. G. Konopelchenko
    • 1
  1. 1.Institute of Nuclear PhysicsNovosibirsk-90USSR

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