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" Effective fundamental length in quantum gravity ". V.M.Khatsymovsky (Budker
Institute of Nuclear Physics, Novosibirsk) Abstract: 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. |
