Yang-Mills theory as an Abelian theory without gauge fixing

Details Yang-Mills theory as an Abelian theory without gauge fixing Yang-Mills theory as an Abelian theory without gauge fixing

1999-07-24

arxiv.org/abs/hep-th/9907182v1

Phys.Lett. B463 (1999) 263-272

Physics

High Energy Physics

High Energy Physics - Theory

plain Latex, 12 pages, no figures

Scientific paper

10.1016/S0370-2693(99)01024-2

A general procedure to reveal an Abelian structure of Yang-Mills theories by means of a (nonlocal) change of variables, rather than by gauge fixing, in the space of connections is proposed. The Abelian gauge group is isomorphic to the maximal Abelian subgroup of the Yang-Mills gauge group, but not its subgroup. A Maxwell field of the Abelian theory contains topological degrees of freedom of original Yang-Mills fields which generate monopole-like and flux-like defects upon an Abelian projection. 't Hooft's conjecture that ``monopole'' dynamics is projection independent is proved for a special class of Abelian projections. A partial duality and a dynamical regime in which the theory may have massive excitations being knot-like solitons are discussed.

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