Theoretical and Mathematical Physics

, Volume 139, Issue 2, pp 679–692 | Cite as

Infrared Variables for the SU(3) Yang–Mills Field

  • T. A. Bolokhov
  • L. D. Faddeev


We generalize the self-dual parameterization of the SU(2) Yang–Mills field proposed by Niemi and Faddeev for describing the infrared limit of the theory to the case of the gauge group SU(3). We demonstrate that the duality property intrinsic to the SU(2) gauge field cannot be transferred automatically to the higher-rank group case. We interpret the algebraic structures appearing in the Lagrangian for the new compact variables in terms of the group products SU(2)⊗3.

Yang–Mills field compact variables duality stringlike solitons Kirillov forms maximal Abelian gauge 


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Copyright information

© Plenum Publishing Corporation 2004

Authors and Affiliations

  • T. A. Bolokhov
  • L. D. Faddeev

There are no affiliations available

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