Intersecting Quantum Gravity with Noncommutative Geometry - a Review
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Intersecting Quantum Gravity with Noncommutative Geometry - a Review
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| Creator |
Aastrup, J.
Grimstrup, J.M. |
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| Description |
We review applications of noncommutative geometry in canonical quantum gravity. First, we show that the framework of loop quantum gravity includes natural noncommutative structures which have, hitherto, not been explored. Next, we present the construction of a spectral triple over an algebra of holonomy loops. The spectral triple, which encodes the kinematics of quantum gravity, gives rise to a natural class of semiclassical states which entail emerging fermionic degrees of freedom. In the particular semiclassical approximation where all gravitational degrees of freedom are turned off, a free fermionic quantum field theory emerges. We end the paper with an extended outlook section.
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| Date |
2019-02-18T11:52:21Z
2019-02-18T11:52:21Z 2012 |
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| Type |
Article
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| Identifier |
Intersecting Quantum Gravity with Noncommutative Geometry - a Review / J. Aastrup, J.M. Grimstrup // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 51 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 46L52; 46L87; 46L89; 58B34; 81R60; 81T75; 83C65; 70S15 http://dx.doi.org/10.3842/SIGMA.2012.018 http://dspace.nbuv.gov.ua/handle/123456789/148411 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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