2008/04/15 by V. M. Khatsymovsky, Khatsymovsky, V. M.
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.48550/arxiv.0804.2389
15 pages, 2 figures, typos corrected, ref added, readability improved
openalex publication_date 2008/04/15 · arxiv created 2008/04/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider Regge calculus in the representation in terms of area tensors and self- and antiselfdual connections generalised to the case of Holst action that is standard Einstein action in the tetrad-connection variables plus topological (on equations of motion for connections) term with coefficient 1/γ, γ is Barbero-Immirzi parameter. The quantum measure is shown to exponentially decrease with areas with typical cut-off scales 4πG and 4πGγ in spacelike and timelike regions, respectively (G is the Newton constant).