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

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dc.contributor.authorGielen, S.
dc.date.accessioned2019-02-16T12:44:16Z
dc.date.available2019-02-16T12:44:16Z
dc.date.issued2011
dc.description.abstractWe 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.sponsorshipThis 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.identifier.citationThe 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.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 22E70; 51P05; 53C05; 53C80; 83C05; 83C45
dc.identifier.otherhttp://dx.doi.org/10.3842/SIGMA.2011.104
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147988
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleThe Space of Connections as the Arena for (Quantum) Gravityuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7, випуск за цей рік