Letters in Mathematical Physics

, Volume 3, Issue 4, pp 241–247 | Cite as

The gauge field as chiral field on the path and its integrability

  • I. Ya. Aref'eva
Article

Abstract

It is shown that the gauge theory is equivalent to the chiral theory on the path. As a consequence the results obtained for chiral theory inD-space-time dimension may be carried over for gauge fields inD+1 dimensions. In particular, this leads to the integrability of the classical 3-dimensional Yang-Mills theory in terms of the path variables.

Keywords

Statistical Physic Gauge Theory Group Theory Gauge Field Path Variable 
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Copyright information

© D. Reidel Publishing Company 1979

Authors and Affiliations

  • I. Ya. Aref'eva
    • 1
  1. 1.Institut MathematiqueMoscowU.S.S.R.

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