Every gauge orbit passes inside the Gribov horizon
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Abstract
TheL2 topology is introduced on the space of gauge connectionsA and a natural topology is introduced on the group of local gauge transformationsGT. It is shown that the mappingGT×A→A defined byA→Ag=g*Ag+g*dg is continuous and that each gauge orbit is closed. The Hilbert norm of the gauge connection achieves its absolute minimum on each gauge orbit, at which point the orbit intersects the region bounded by the Gribov horizon.
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Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing
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References
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