BRST Inner Product Spaces and the Gribov Obstruction

Details BRST Inner Product Spaces and the Gribov Obstruction BRST Inner Product Spaces and the Gribov Obstruction

1998-08-25

arxiv.org/abs/hep-th/9808151v1

Nucl.Phys. B538 (1999) 485-514

Physics

High Energy Physics

High Energy Physics - Theory

49 pages, 1 figure (included)

Scientific paper

10.1016/S0550-3213(98)00727-5

A global extension of the Batalin-Marnelius proposal for a BRST inner product to gauge theories with topologically nontrivial gauge orbits is discussed. It is shown that their (appropriately adapted) method is applicable to a large class of mechanical models with a semisimple gauge group in the adjoint and fundamental representation. This includes cases where the Faddeev-Popov method fails. Simple models are found also, however, which do not allow for a well-defined global extension of the Batalin-Marnelius inner product due to a Gribov obstruction. Reasons for the partial success and failure are worked out and possible ways to circumvent the problem are briefly discussed.

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