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Communications in Mathematical Physics

, Volume 79, Issue 4, pp 457–472 | Cite as

On the bundle of connections and the gauge orbit manifold in Yang-Mills theory

  • P. K. Mitter
  • C. M. Viallet
Article

Abstract

In an appropriate mathematical framework we supply a simple proof that the quotienting of the space of connections by the group of gauge transformations (in Yang-Mills theory) is aC principal fibration. The underlying quotient space, the gauge orbit space, is seen explicitly to be aC manifold modelled on a Hilbert space.

Keywords

Neural Network Manifold Statistical Physic Hilbert Space Complex System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • P. K. Mitter
    • 1
  • C. M. Viallet
    • 1
  1. 1.Laboratoire de Physique Théorique et Hautes EnergiesUniversité Pierre et Marie CurieParis Cedex 05France

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