Details
| Original language | English |
|---|---|
| Pages (from-to) | 1589-1603 |
| Number of pages | 15 |
| Journal | International Journal of Modern Physics A |
| Volume | 22 |
| Issue number | 8-9 |
| Publication status | Published - 10 Apr 2007 |
Abstract
An intersection of noncommutative geometry and loop quantum gravity is proposed. Alain Connes' noncommutative geometry provides a. framework in which the Standard Model of particle physics coupled to general relativity is formulated as a unified, gravitational theory. However, to this day no quantization procedure compatible with this framework is known. In this paper we consider the noncommutative algebra, of holonomy loops on a, functional space of certain spin-connections. The construction of a spectral triple is outlined and ideas on interpretation and classical limit are presented.
Keywords
- Models of quantum gravity, Noncommutative geometry
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Physics and Astronomy(all)
- Astronomy and Astrophysics
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In: International Journal of Modern Physics A, Vol. 22, No. 8-9, 10.04.2007, p. 1589-1603.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Intersecting connes noncommutative geometry with quantum gravity
AU - Aastrup, Johannes
AU - Grimstrup, Jesper Møller
PY - 2007/4/10
Y1 - 2007/4/10
N2 - An intersection of noncommutative geometry and loop quantum gravity is proposed. Alain Connes' noncommutative geometry provides a. framework in which the Standard Model of particle physics coupled to general relativity is formulated as a unified, gravitational theory. However, to this day no quantization procedure compatible with this framework is known. In this paper we consider the noncommutative algebra, of holonomy loops on a, functional space of certain spin-connections. The construction of a spectral triple is outlined and ideas on interpretation and classical limit are presented.
AB - An intersection of noncommutative geometry and loop quantum gravity is proposed. Alain Connes' noncommutative geometry provides a. framework in which the Standard Model of particle physics coupled to general relativity is formulated as a unified, gravitational theory. However, to this day no quantization procedure compatible with this framework is known. In this paper we consider the noncommutative algebra, of holonomy loops on a, functional space of certain spin-connections. The construction of a spectral triple is outlined and ideas on interpretation and classical limit are presented.
KW - Models of quantum gravity
KW - Noncommutative geometry
UR - http://www.scopus.com/inward/record.url?scp=34248174284&partnerID=8YFLogxK
U2 - 10.48550/arXiv.hep-th/0601127
DO - 10.48550/arXiv.hep-th/0601127
M3 - Article
AN - SCOPUS:34248174284
VL - 22
SP - 1589
EP - 1603
JO - International Journal of Modern Physics A
JF - International Journal of Modern Physics A
SN - 0217-751X
IS - 8-9
ER -