A generalized Lichnerowicz formula, the Wodzicki Residue and Gravity

Details A generalized Lichnerowicz formula, the Wodzicki Residue and Gravity A generalized Lichnerowicz formula, the Wodzicki Residue and Gravity

1995-03-23

arxiv.org/abs/hep-th/9503152v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, plain tex

Scientific paper

10.1016/0393-0440(95)00030-5

We prove a generalized version of the well-known Lichnerowicz formula for the square of the most general Dirac operator $\widetilde{D}$\ on an even-dimensional spin manifold associated to a metric connection $\widetilde{\nabla}$. We use this formula to compute the subleading term $\Phi_1(x,x, \widetilde{D}^2)$\ of the heat-kernel expansion of $\widetilde{D}^2$. The trace of this term plays a key-r$\hat {\petit\rm o}$le in the definition of a (euclidian) gravity action in the context of non-commutative geometry. We show that this gravity action can be interpreted as defining a modified euclidian Einstein-Cartan theory.

Affiliated with

Also associated with

No associations

Rating

A generalized Lichnerowicz formula, the Wodzicki Residue and Gravity 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 A generalized Lichnerowicz formula, the Wodzicki Residue and Gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A generalized Lichnerowicz formula, the Wodzicki Residue and Gravity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-340057