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Gauge invariant discretization of Poincare quantum gravity

High Energy Physics - Lattice 2008-11-26 v3 General Relativity and Quantum Cosmology High Energy Physics - Theory

Abstract

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.

Keywords

Cite

@article{arxiv.hep-lat/0604011,
  title  = {Gauge invariant discretization of Poincare quantum gravity},
  author = {M. A. Zubkov},
  journal= {arXiv preprint arXiv:hep-lat/0604011},
  year   = {2008}
}

Comments

12 pages, to appear in Phys.Lett.B