Phenomenology of Noncommutative Field Theories

Abstract

Experimental limits on the violation of four-dimensional Lorentz invariance imply that noncommutativity among ordinary spacetime dimensions must be small. In this talk, I review the most stringent bounds on noncommutative field theories and suggest a possible means of evading them: noncommutativity may be restricted to extra, compactified spatial dimensions. Such theories have a number of interesting features, including Abelian gauge fields whose Kaluza-Klein excitations have self couplings. We consider six-dimensional QED in a noncommutative bulk, and discuss the collider signatures of the model.

Comments: 7 pages RevTeX, 4 eps figures, Invited plenary talk, IX Mexican Workshop on Particles and Fields, November 17-22, 2003, Universidad de Colima, Mexico