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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Communicated by R. Stora
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Mitter, P.K., Viallet, C.M. On the bundle of connections and the gauge orbit manifold in Yang-Mills theory. Commun. Math. Phys. 79, 457–472 (1981). https://doi.org/10.1007/BF01209307
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DOI: https://doi.org/10.1007/BF01209307