Gribov Problem and BRST Symmetry

Details Gribov Problem and BRST Symmetry Gribov Problem and BRST Symmetry

1995-11-17

arxiv.org/abs/hep-th/9511124v1

Physics

High Energy Physics

High Energy Physics - Theory

20 pages plus 1 figure. To be published in the Proceedings of International Symposium on BRS Symmetry(Universal Academy Press,

Scientific paper

After a brief historical comment on the study of BRS(or BRST) symmetry , we discuss the quantization of gauge theories with Gribov copies. A path integral with BRST symmetry can be formulated by summing the Gribov-type copies in a very specific way if the functional correspondence between $\tau$ and the gauge parameter $\omega$ defined by $\tau (x) = f( A_{\mu}^{\omega}(x))$ is ``globally single valued'', where $f( A_{\mu}^{\omega}(x)) = 0 $ specifies the gauge condition. As an example of the theory which satisfies this criterion, we comment on a soluble gauge model with Gribov-type copies recently analyzed by Friedberg, Lee, Pang and Ren. We also comment on a possible connection of the dynamical instability of BRST symmetry with the Gribov problem on the basis of an index notion.

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