Spontaneous generation of geometry in four dimensions

Details Spontaneous generation of geometry in four dimensions Spontaneous generation of geometry in four dimensions

2012-01-23

arxiv.org/abs/1201.4697v1

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

We present the extension to 4 dimensions of an euclidean 2-dimensional model that exhibits spontaneous generation of a metric. In this model gravitons emerge as Goldstone bosons of a global SO(D) X GL(D) symmetry broken down to SO(D). The microscopic theory can be formulated without having to appeal to any particular space-time metric and only assumes the pre-existence of a manifold endowed with an affine connection. We emphasize that not even a flat metric needs to be assumed; in this sense the microscopic theory is quasi-topological. The vierbein appears as a condensate of the fundamental fermions. In spite of having non-standard characteristics, the microscopic theory appears to be renormalizable. The effective long-distance theory is obtained perturbatively around a vacuum that, if the background affine connection is set to zero, is (euclidean) de Sitter space-time. If perturbatively small connections are introduced on this background, fluctuations of the metric (i.e. gravitons) appear; they are described by an effective theory at long distances whose more relevant operators correspond to the Einstein-Hilbert action with a cosmological constant. This effective action is derived in the large N limit, N being the number of fermion species in the fundamental theory. The counterterms required by the microscopic theory are directly related to the cosmological constant and Newton constant and their couplings could eventually be adjusted to the physical values of Mp and \Lambda.

Affiliated with

Also associated with

No associations

Rating

Spontaneous generation of geometry in four dimensions 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 Spontaneous generation of geometry in four dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spontaneous generation of geometry in four dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-497612