Scalar field theory in Snyder space-time: alternatives

Details Scalar field theory in Snyder space-time: alternatives Scalar field theory in Snyder space-time: alternatives

2010-04-05

arxiv.org/abs/1004.0621v1

JHEP 1103:132,2011

Physics

High Energy Physics

High Energy Physics - Theory

24 pages.

Scientific paper

10.1007/JHEP03(2011)132

We construct two types of scalar field theory on Snyder space-time. The first one is based on the natural momenta addition inherent to the coset momentum space. This construction uncovers a non-associative deformation of the Poincar\'e symmetries. The second one considers Snyder space-time as a subspace of a larger non-commutative space. We discuss different possibilities to restrict the extra-dimensional scalar field theory to a theory living only on Sndyer space-time and present the consequences of these restrictions on the Poincar\'e symmetries. We show moreover how the non-associative approach and the Doplicher-Fredenhagen-Roberts space can be seen as specific approximations of the extra-dimensional theory. These results are obtained for the 3d Euclidian Snyder space-time constructed from $\SO(3,1)/\SO(3)$, but our results extend to any dimension and signature.

Affiliated with

Also associated with

No associations

Rating

Scalar field theory in Snyder space-time: alternatives 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 Scalar field theory in Snyder space-time: alternatives, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Scalar field theory in Snyder space-time: alternatives will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-637335