Amenability of the Gauge Group

Details Amenability of the Gauge Group Amenability of the Gauge Group

2004-01-15

arxiv.org/abs/math-ph/0401031v1

Lett.Math.Phys.68:113-120,2004

Physics

Mathematical Physics

8 pages, Latex

Scientific paper

10.1023/B:MATH.0000043318.42556.

Let G be one of the local gauge groups C(X,U(n)), C^\infty(X,U(n)), C(X,SU(n)) or C^\infty(X,SU(n)) where X is a compact Riemannian manifold. We observe that G has a nontrivial group topology, coarser than its natural topology, w.r.t. which it is amenable, viz the relative weak topology of C(X,M(n)). This topology seems more useful than other known amenable topologies for G. We construct a simple fermionic model containing an action of G, continuous w.r.t. this amenable topology.

Affiliated with

Also associated with

No associations

Rating

Amenability of the Gauge Group 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 Amenability of the Gauge Group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Amenability of the Gauge Group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-300165