A Lorentz-Covariant Connection for Canonical Gravity
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
A Lorentz-Covariant Connection for Canonical Gravity
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| Creator |
Geiller, M.
Lachièze-Rey, M. Noui, K. Sardelli, F. |
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| Description |
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.
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| Date |
2019-02-14T17:55:45Z
2019-02-14T17:55:45Z 2011 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2010 Mathematics Subject Classification: 83C05; 83C45 DOI: http://dx.doi.org/10.3842/SIGMA.2011.083 http://dspace.nbuv.gov.ua/handle/123456789/147410 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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