Moyal Planes are Spectral Triples

Details Moyal Planes are Spectral Triples Moyal Planes are Spectral Triples

2003-07-24

arxiv.org/abs/hep-th/0307241v3

Commun.Math.Phys.246:569-623,2004

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 54 pages. Version 3 with Moyal-Wick section updated

Scientific paper

10.1007/s00220-004-1057-z

Axioms for nonunital spectral triples, extending those introduced in the unital case by Connes, are proposed. As a guide, and for the sake of their importance in noncommutative quantum field theory, the spaces $\R^{2N}$ endowed with Moyal products are intensively investigated. Some physical applications, such as the construction of noncommutative Wick monomials and the computation of the Connes--Lott functional action, are given for these noncommutative hyperplanes.

Affiliated with

Also associated with

No associations

Rating

Moyal Planes are Spectral Triples 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 Moyal Planes are Spectral Triples, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Moyal Planes are Spectral Triples will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-367757