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dc.contributor.author Geiller, M.
dc.contributor.author Lachièze-Rey, M.
dc.contributor.author Noui, K.
dc.contributor.author Sardelli, F.
dc.date.accessioned 2019-02-14T17:55:45Z
dc.date.available 2019-02-14T17:55:45Z
dc.date.issued 2011
dc.identifier.citation A Lorentz-Covariant Connection for Canonical Gravity / M. Geiller, M. Lachièze-Rey, K. Noui, F. Sardelli // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 24 назв. — англ. uk_UA
dc.identifier.issn 1815-0659
dc.identifier.other 2010 Mathematics Subject Classification: 83C05; 83C45
dc.identifier.other DOI: http://dx.doi.org/10.3842/SIGMA.2011.083
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/147410
dc.description.abstract We construct a Lorentz-covariant connection in the context of first order canonical gravity with non-vanishing Barbero-Immirzi parameter. To do so, we start with the phase space formulation derived from the canonical analysis of the Holst action in which the second class constraints have been solved explicitly. This allows us to avoid the use of Dirac brackets. In this context, we show that there is a ''unique'' Lorentz-covariant connection which is commutative in the sense of the Poisson bracket, and which furthermore agrees with the connection found by Alexandrov using the Dirac bracket. This result opens a new way toward the understanding of Lorentz-covariant loop quantum gravity. uk_UA
dc.description.sponsorship This paper is a contribution to the Special Issue “Loop Quantum Gravity and Cosmology”. The full collection is available at http://www.emis.de/journals/SIGMA/LQGC.html. The authors would like to thank S. Alexandrov for carefully reading an earlier draft of this work, and for useful comments. K.N. is partially supported by the ANR. uk_UA
dc.language.iso en uk_UA
dc.publisher Інститут математики НАН України uk_UA
dc.relation.ispartof Symmetry, Integrability and Geometry: Methods and Applications
dc.title A Lorentz-Covariant Connection for Canonical Gravity uk_UA
dc.type Article uk_UA
dc.status published earlier uk_UA

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