Spectral action for scalar perturbations of Dirac operators

Details Spectral action for scalar perturbations of Dirac operators Spectral action for scalar perturbations of Dirac operators

2010-12-17

arxiv.org/abs/1012.3860v1

Physics

Mathematical Physics

16 pages

Scientific paper

We investigate the leading terms of the spectral action for odd-dimensional Riemannian spin manifolds with the Dirac operator perturbed by a scalar function. We calculate first two Gilkey-de Witt coefficients and make explicit calculations for the case of $n$-spheres with a completely symmetric Dirac. In the special case of dimension 3, when such perturbation corresponds to the completely antisymmetric torsion we carry out the noncommutative calculation following Chamseddine and Connes and study the case of $SU_q(2)$.

Affiliated with

Also associated with

No associations

Rating

Spectral action for scalar perturbations of Dirac operators 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 scalar perturbations of Dirac operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spectral action for scalar perturbations of Dirac operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-638665