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- Title
On the Problem of the Amenability of the Gauge Group.
- Authors
Carey, Alan; Grundling, Hendrik
- Abstract
LetGbe one of the local gauge groupsC(X, U(n)),C8(X, U(n)),C(X, SU(n)) orC8(X, SU(n)) whereXis a compact Riemannian manifold. We observe thatGhas a nontrivial group topology, coarser than its natural topology, w.r.t. which it is amenable, viz. the relative weak topology ofC(X,M(n)). This topology seems more useful than other known amenable topologies forG. We construct a simple fermionic model containing an action ofG, continuous w.r.t. this amenable topology.
- Subjects
GAUGE field theory; FIELD theory (Physics); GROUP theory; SYMMETRY (Physics); MATHEMATICAL physics; MECHANICS (Physics)
- Publication
Letters in Mathematical Physics, 2004, Vol 68, Issue 2, p113
- ISSN
0377-9017
- Publication type
Article
- DOI
10.1023/B:MATH.0000043318.42556.03