S-Matrix on the Moyal Plane: Locality versus Lorentz Invariance

Details S-Matrix on the Moyal Plane: Locality versus Lorentz Invariance S-Matrix on the Moyal Plane: Locality versus Lorentz Invariance

2007-08-10

arxiv.org/abs/0708.1379v2

Phys.Rev.D77:025020,2008

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, LaTeX, 1 figure

Scientific paper

10.1103/PhysRevD.77.025020

Twisted quantum field theories on the Groenewold-Moyal plane are known to be non-local. Despite this non-locality, it is possible to define a generalized notion of causality. We show that interacting quantum field theories that involve only couplings between matter fields, or between matter fields and minimally coupled U(1) gauge fields are causal in this sense. On the other hand, interactions between matter fields and non-abelian gauge fields violate this generalized causality. We derive the modified Feynman rules emergent from these features. They imply that interactions of matter with non-abelian gauge fields are not Lorentz- and CPT-invariant.

Affiliated with

Also associated with

No associations

Rating

S-Matrix on the Moyal Plane: Locality versus Lorentz Invariance 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 S-Matrix on the Moyal Plane: Locality versus Lorentz Invariance, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and S-Matrix on the Moyal Plane: Locality versus Lorentz Invariance will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-46464