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The Space of Connections as the Arena for (Quantum) Gravity
Репозиторій DSpace/Manakin
- Домашня сторінка
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- Фізико-технічні та математичні науки
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- Відділення математики
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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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The Space of Connections as the Arena for (Quantum) Gravity
Інший ID:
2010 Mathematics Subject Classification: 22E70; 51P05; 53C05; 53C80; 83C05; 83C45
http://dx.doi.org/10.3842/SIGMA.2011.104
http://dx.doi.org/10.3842/SIGMA.2011.104
Посилання:
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.
Підтримка:
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.
Дата:
2011
Переглядів:
468
Завантажень:
252
Анотація:
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.
