Physics – Mathematical Physics
Scientific paper
2005-12-30
Physics
Mathematical Physics
in french, Ph.D thesis, 157 pages, see http://tel.ccsd.cnrs.fr/tel-00010487
Scientific paper
Endomorphisms algebras can replace the concept of principal fiber bundle. Gauge theories are reformulated within this algebraic framework and further generalized to unify ordinary connections and Higgs fields. A 'noncommutative Maxwell' model is built starting from non trivial fiber bundles thus requiring the development of the notion of Riemannian structure. The tools involved in the study of associative algebras are presented and an algebraic method to characterize the usual Chern-Weil morphism is proposed. Then, current results on symmetric fiber bundles are generalized to noncommutative connections and an extension of the Witten ansatz is given. Finally, a generalization of the Born-Infeld action for noncommutative connections is proposed. The corresponding Lagrangians are non-polynomial and the existence of solitonic solutions is shown on several examples
Serie Emmanuel
No associations
LandOfFree
Gauge theories in noncommutative geometry and generalization of the Born-Infeld model 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 Gauge theories in noncommutative geometry and generalization of the Born-Infeld model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gauge theories in noncommutative geometry and generalization of the Born-Infeld model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-507878