On the bundle of connections and the gauge orbit manifold in Yang-Mills theory |
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| Authors: | P K Mitter C M Viallet |
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| Institution: | (1) Laboratoire de Physique Théorique et Hautes Energies, Université Pierre et Marie Curie, 4 Place Jussieu, F-75230 Paris Cedex 05, France |
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| 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. |
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