The Configuration Space of Low-dimensional Yang-Mills Theories

Details The Configuration Space of Low-dimensional Yang-Mills Theories The Configuration Space of Low-dimensional Yang-Mills Theories

1998-01-26

arxiv.org/abs/hep-th/9801169v1

Nucl.Phys. B524 (1998) 695-741

Physics

High Energy Physics

High Energy Physics - Theory

52 pages LaTeX2e, 8 postscript figures, uses epsfig, amsmath, amssymb

Scientific paper

10.1016/S0550-3213(98)00260-0

We discuss the construction of the physical configuration space for Yang-Mills quantum mechanics and Yang-Mills theory on a cylinder. We explicitly eliminate the redundant degrees of freedom by either fixing a gauge or introducing gauge invariant variables. Both methods are shown to be equivalent if the Gribov problem is treated properly and the necessary boundary identifications on the Gribov horizon are performed. In addition, we analyze the significance of non-generic configurations and clarify the relation between the Gribov problem and coordinate singularities.

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