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" Effective fundamental length in quantum gravity ".

V.M.Khatsymovsky (Budker Institute of Nuclear Physics, Novosibirsk)



When quantizing general relativity, interactions at small distances lead to strong divergences which make quantum gravity noneffective (beyond the lowest orders of perturbation theory). In the present work, we use description, due to Regge, of spacetime as composed of the 4-dimensional tetrahedra with curvature vanishing inside each of them. We develop the quantum approach to Regge formalism. Within this approach, we show that lengths of the tetrahedra edges are concentrated around the Planck scale 10-33 cm, and contributions of smaller distances are suppressed. Thus, self-consistent discrete description of the spacetime is obtained which allows to remove divergences in quantum theory of gravity.