The Space of Connections as the Arena for (Quantum) Gravity

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7
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Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7, випуск за цей рік
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dc.contributor.author	Gielen, S.
dc.date.accessioned	2019-02-16T12:44:16Z
dc.date.available	2019-02-16T12:44:16Z
dc.date.issued	2011
dc.identifier.citation	The Space of Connections as the Arena for (Quantum) Gravity / S. Gielen // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 31 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 22E70; 51P05; 53C05; 53C80; 83C05; 83C45
dc.identifier.other	http://dx.doi.org/10.3842/SIGMA.2011.104
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147988
dc.description.abstract	We review some properties of the space of connections as the natural arena for canonical (quantum) gravity, and compare to the case of the superspace of 3-metrics. We detail how a 1-parameter family of metrics on the space of connections arises from the canonical analysis for general relativity which has a natural interpretation in terms of invariant tensors on the algebra of the gauge group. We also review the description of canonical GR as a geodesic principle on the space of connections, and comment on the existence of a time variable which could be used in the interpretation of the quantum theory.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue “Loop Quantum Gravity and Cosmology”. The full collectionis available at http://www.emis.de/journals/SIGMA/LQGC.html. I should like to thank Daniele Oriti for initiating this study of the geometry of the space of connections and for fruitful discussions, and an anynomous referee for comments that led to an improvement of presentation, particularly concerning Hamiltonian dynamics.	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	The Space of Connections as the Arena for (Quantum) Gravity	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA