Gauge invariant discretization of Poincare quantum gravity

Details Gauge invariant discretization of Poincare quantum gravity Gauge invariant discretization of Poincare quantum gravity

2006-04-15

arxiv.org/abs/hep-lat/0604011v3

Phys.Lett.B638:503-508,2006; Erratum-ibid.B655:307,2007

Physics

High Energy Physics

High Energy Physics - Lattice

12 pages, to appear in Phys.Lett.B

Scientific paper

10.1016/j.physletb.2006.06.004 1

In this paper we suggest gauge invariant discretization of Poincare quantum gravity. We generalize Regge calculus to the case of Riemann-Cartan space. The basic element of the constructed discretization is piecewize linear Riemann-Cartan space with flat pieces of hypercubic form. We consider the model with squared curvature action and calculate the correspondent lattice action. We construct local measure over the dynamical variables of the lattice model.

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