Chiral spinors and gauge fields in noncommutative curved space-time

Details Chiral spinors and gauge fields in noncommutative curved space-time Chiral spinors and gauge fields in noncommutative curved space-time

2002-12-04

arxiv.org/abs/hep-th/0212062v2

Phys.Rev. D67 (2003) 124029

Physics

High Energy Physics

High Energy Physics - Theory

50 pages LaTeX, minor corrections and references added

Scientific paper

10.1103/PhysRevD.67.124029

The fundamental concepts of Riemannian geometry, such as differential forms, vielbein, metric, connection, torsion and curvature, are generalized in the context of non-commutative geometry. This allows us to construct the Einstein-Hilbert-Cartan terms, in addition to the bosonic and fermionic ones in the Lagrangian of an action functional on non-commutative spaces. As an example, and also as a prelude to the Standard Model that includes gravitational interactions, we present a model of chiral spinor fields on a curved two-sheeted space-time with two distinct abelian gauge fields. In this model, the full spectrum of the generalized metric consists of pairs of tensor, vector and scalar fields. They are coupled to the chiral fermions and the gauge fields leading to possible parity violation effects triggered by gravity.

Affiliated with

Also associated with

No associations

Rating

Chiral spinors and gauge fields in noncommutative curved space-time 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 Chiral spinors and gauge fields in noncommutative curved space-time, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Chiral spinors and gauge fields in noncommutative curved space-time will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-702926