Spectral action for torsion with and without boundaries

Details Spectral action for torsion with and without boundaries Spectral action for torsion with and without boundaries

2010-08-21

arxiv.org/abs/1008.3630v2

Commun. Math. Phys. 310 (2012) 367-382

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, references added

Scientific paper

We derive a commutative spectral triple and study the spectral action for a rather general geometric setting which includes the (skew-symmetric) torsion and the chiral bag conditions on the boundary. The spectral action splits into bulk and boundary parts. In the bulk, we clarify certain issues of the previous calculations, show that many terms in fact cancel out, and demonstrate that this cancellation is a result of the chiral symmetry of spectral action. On the boundary, we calculate several leading terms in the expansion of spectral action in four dimensions for vanishing chiral parameter $\theta$ of the boundary conditions, and show that $\theta=0$ is a critical point of the action in any dimension and at all orders of the expansion.

Affiliated with

Also associated with

No associations

Rating

Spectral action for torsion with and without boundaries 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 Spectral action for torsion with and without boundaries, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spectral action for torsion with and without boundaries will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-188892