Noncommutative Geometric Spaces with Boundary: Spectral Action

Details Noncommutative Geometric Spaces with Boundary: Spectral Action Noncommutative Geometric Spaces with Boundary: Spectral Action

2010-08-24

arxiv.org/abs/1008.3980v1

J.Geom.Phys.61:317-332,2011

Physics

High Energy Physics

High Energy Physics - Theory

26 pages

Scientific paper

10.1016/j.geomphys.2010.10.002

We study spectral action for Riemannian manifolds with boundary, and then generalize this to noncommutative spaces which are products of a Riemannian manifold times a finite space. We determine the boundary conditions consistent with the hermiticity of the Dirac operator. We then define spectral triples of noncommutative spaces with boundary. In particular we evaluate the spectral action corresponding to the noncommutative space of the standard model and show that the Einstein-Hilbert action gets modified by the addition of the extrinsic curvature terms with the right sign and coefficient necessary for consistency of the Hamiltonian. We also include effects due to the addition of dilaton field.

Affiliated with

Also associated with

No associations

Rating

Noncommutative Geometric Spaces with Boundary: Spectral Action 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 Noncommutative Geometric Spaces with Boundary: Spectral Action, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Noncommutative Geometric Spaces with Boundary: Spectral Action will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-393332