Operator representation of gravitational constraints for the case of the closed universe
Teoretičeskaâ i matematičeskaâ fizika, Tome 105 (1995) no. 3, pp. 503-507
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The Witten identity is used to obtain a representation of gravitational constraints for a closed Universe as an equality of two operators in the space of Dirac bispinors, the Dirac operator squared and the Laplace operator. Degeneracy of the spectra of these operators represents the Lorentz invariance of the Hamiltonian dynamics of the Universe in special gauges connected with the new operator representation.
@article{TMF_1995_105_3_a15,
author = {N. N. Gorobey and A. S. Lukyanenko},
title = {Operator representation of gravitational constraints for the case of the closed universe},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {503--507},
publisher = {mathdoc},
volume = {105},
number = {3},
year = {1995},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1995_105_3_a15/}
}
TY - JOUR AU - N. N. Gorobey AU - A. S. Lukyanenko TI - Operator representation of gravitational constraints for the case of the closed universe JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1995 SP - 503 EP - 507 VL - 105 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1995_105_3_a15/ LA - ru ID - TMF_1995_105_3_a15 ER -
%0 Journal Article %A N. N. Gorobey %A A. S. Lukyanenko %T Operator representation of gravitational constraints for the case of the closed universe %J Teoretičeskaâ i matematičeskaâ fizika %D 1995 %P 503-507 %V 105 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1995_105_3_a15/ %G ru %F TMF_1995_105_3_a15
N. N. Gorobey; A. S. Lukyanenko. Operator representation of gravitational constraints for the case of the closed universe. Teoretičeskaâ i matematičeskaâ fizika, Tome 105 (1995) no. 3, pp. 503-507. http://geodesic.mathdoc.fr/item/TMF_1995_105_3_a15/