  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.

High Energy Physics - Lattice;General Relativity and Quantum Cosmology;High Energy Physics - Theory