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Learning about Quantum Gravity with a Couple of Nodes
Репозиторій DSpace/Manakin
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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, 2012, том 8
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- Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік
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Learning about Quantum Gravity with a Couple of Nodes
Інший ID:
2010 Mathematics Subject Classification: 83C27; 83C45; 83C60; 83F05
DOI: http://dx.doi.org/10.3842/SIGMA.2012.015
DOI: http://dx.doi.org/10.3842/SIGMA.2012.015
Посилання:
Learning about Quantum Gravity with a Couple of Nodes / E.F. Borja, I. Garay, F. Vidotto // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 109 назв. — англ.
Підтримка:
This paper is a contribution to the Special Issue “Loop Quantum Gravity and Cosmology”. The full collection is available at http://www.emis.de/journals/SIGMA/LQGC.html.
This work was in part supported by the Spanish MICINN research grants FIS2008-01980 and FIS2009-11893. IG is supported by the Department of Education of the Basque Government under the “Formaci´on de Investigadores” program.
Дата:
2012
Переглядів:
471
Завантажень:
261
Анотація:
Loop Quantum Gravity provides a natural truncation of the infinite degrees of freedom of gravity, obtained by studying the theory on a given finite graph. We review this procedure and we present the construction of the canonical theory on a simple graph, formed by only two nodes. We review the U(N) framework, which provides a powerful tool for the canonical study of this model, and a formulation of the system based on spinors. We consider also the covariant theory, which permits to derive the model from a more complex formulation, paying special attention to the cosmological interpretation of the theory.
