English

On quantization of Regge links

General Relativity and Quantum Cosmology 2009-10-22 v1

Abstract

In quantum Regge calculus areas of timelike triangles possess discrete spectrum. This is because bivectors of these triangles are variables canonically conjugate to orthogonal connection matrices varying in the compact group. (The scale of quantum of this spectrum is nothing but Plankian one). This is checked in simple exactly solvable model - dimensionally reduced in some way Regge calculus.

Keywords

Cite

@article{arxiv.gr-qc/9311001,
  title  = {On quantization of Regge links},
  author = {V. Khatsymovsky},
  journal= {arXiv preprint arXiv:gr-qc/9311001},
  year   = {2009}
}

Comments

6 pages, Plain LaTeX, Preprint UUITP-23/1993

R2 v1 2026-07-22T12:48:38.493Z