In this Letter 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 piecewise-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. (c) 2006 Elsevier B.V. All fights reserved.
机构:
Tomsk State Pedag Univ, Dept Math Anal, Kievskaya St 60, Tomsk 634061, Russia
Univ Fed Juiz de Fora, Departamento Fis, ICE, BR-36036330 Juiz De Fora, MG, Brazil
Natl Res Tomsk State Univ, Lenin Ave 36, Tomsk 634050, RussiaTomsk State Pedag Univ, Dept Math Anal, Kievskaya St 60, Tomsk 634061, Russia
Lavrov, Peter M.
Shapiro, Ilya L.
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机构:
Tomsk State Pedag Univ, Dept Math Anal, Kievskaya St 60, Tomsk 634061, Russia
Univ Fed Juiz de Fora, Departamento Fis, ICE, BR-36036330 Juiz De Fora, MG, Brazil
Natl Res Tomsk State Univ, Lenin Ave 36, Tomsk 634050, RussiaTomsk State Pedag Univ, Dept Math Anal, Kievskaya St 60, Tomsk 634061, Russia