Aspects of Electric and Magnetic Variables in SU(2) Yang-Mills Theory

Details Aspects of Electric and Magnetic Variables in SU(2) Yang-Mills Theory Aspects of Electric and Magnetic Variables in SU(2) Yang-Mills Theory

2001-01-12

arxiv.org/abs/hep-th/0101078v4

Phys.Lett. B525 (2002) 195-200

Physics

High Energy Physics

High Energy Physics - Theory

we have made substantial improvements

Scientific paper

10.1016/S0370-2693(01)01432-0

We introduce a novel decomposition of the four dimensional SU(2) gauge field. This decomposition realizes explicitely a symmetry between electric and magnetic variables, suggesting a duality picture between the corresponding phases. It also indicates that at large distances the Yang-Mills theory involves a three component unit vector field, a massive Lorentz vector field, and a neutral scalar field that condenses which yields the mass scale. Our results are consistent with the proposal that the physical spectrum of the theory contains confining strings which are tied into stable knotted solitons.

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