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

Vernadsky National Library of Ukraine

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Поле Співвідношення
 
Title The Space of Connections as the Arena for (Quantum) Gravity
 
Creator Gielen, S.
 
Description 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.
 
Date 2019-02-16T12:44:16Z
2019-02-16T12:44:16Z
2011
 
Type Article
 
Identifier 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.
1815-0659
2010 Mathematics Subject Classification: 22E70; 51P05; 53C05; 53C80; 83C05; 83C45
http://dx.doi.org/10.3842/SIGMA.2011.104
http://dspace.nbuv.gov.ua/handle/123456789/147988
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України