Comments on the Gribov Ambiguity

Details Comments on the Gribov Ambiguity Comments on the Gribov Ambiguity

1993-05-20

arxiv.org/abs/hep-th/9305092v1

J.Math.Phys. 35 (1994) 587-595

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, SU-HEP-4241-531, LaTeX

Scientific paper

10.1063/1.530889

We discuss the existence of Gribov ambiguities in $SU(m)\times U(1)$ gauge theories over the $n-$spheres. We achieve our goal by showing that there is exactly one conjugacy class of groups of gauge transformations for the theories given above. This implies that these transformation groups are conjugate to the ones of the trivial $SU(m)\times U(1)$ fiber bundles over the $n-$spheres. By using properties of the space of maps $Map_{\ast}(S^n,G)$ where $G$ is one of $U(1)$, $SU(m)$ we are able to determine the homotopy type of the groups of gauge transformations in terms of the homotopy groups of $G$. The non-triviality of these homotopy groups gives the desired result.

Affiliated with

Also associated with

No associations

Rating

Comments on the Gribov Ambiguity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Comments on the Gribov Ambiguity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Comments on the Gribov Ambiguity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-417740