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Teoreticheskaya i Matematicheskaya Fizika, 1995, Volume 105, Number 3, Pages 503–507 (Mi tmf1394)  
Operator representation of gravitational constraints for the case of the closed universe

N. N. Gorobeya, A. S. Lukyanenko

a State Technological Institute of St. Petersburg
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Abstract: 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.
Received: 13.01.1995
English version:
Theoretical and Mathematical Physics, 1995, Volume 105, Issue 3, Pages 1603–1606
DOI: https://doi.org/10.1007/BF02070882
Bibliographic databases:
Language: Russian
Citation: N. N. Gorobey, A. S. Lukyanenko, “Operator representation of gravitational constraints for the case of the closed universe”, TMF, 105:3 (1995), 503–507; Theoret. and Math. Phys., 105:3 (1995), 1603–1606
Citation in format AMSBIB
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\by N.~N.~Gorobey, A.~S.~Lukyanenko
\paper Operator representation of gravitational constraints for the case of the closed universe
\jour TMF
\yr 1995
\vol 105
\issue 3
\pages 503--507
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1605655}
\zmath{https://zbmath.org/?q=an:0888.53062}
\transl
\jour Theoret. and Math. Phys.
\yr 1995
\vol 105
\issue 3
\pages 1603--1606
\crossref{https://doi.org/10.1007/BF02070882}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995VD44600016}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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