Details
| Original language | English |
|---|---|
| Pages (from-to) | 903-908 |
| Number of pages | 6 |
| Journal | Fortschritte der Physik |
| Volume | 64 |
| Issue number | 11-12 |
| Early online date | 18 Nov 2016 |
| Publication status | E-pub ahead of print - 18 Nov 2016 |
Abstract
We present a new formulation of quantum holonomy theory, which is a candidate for a non-perturbative and background independent theory of quantum gravity coupled to matter and gauge degrees of freedom. The new formulation is based on a Hilbert space representation of the QHD(M) algebra, which is generated by holonomy-diffeomorphisms on a 3-dimensional manifold and by canonical translation operators on the underlying configuration space over which the holonomy-diffeomorphisms form a non-commutative C*-algebra. A proof that the state that generates the representationexist is left for later publications.
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In: Fortschritte der Physik, Vol. 64, No. 11-12, 18.11.2016, p. 903-908.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Quantum holonomy theory and hilbert space representations
AU - Aastrup, Johannes
AU - Grimstrup, Jesper Møller
PY - 2016/11/18
Y1 - 2016/11/18
N2 - We present a new formulation of quantum holonomy theory, which is a candidate for a non-perturbative and background independent theory of quantum gravity coupled to matter and gauge degrees of freedom. The new formulation is based on a Hilbert space representation of the QHD(M) algebra, which is generated by holonomy-diffeomorphisms on a 3-dimensional manifold and by canonical translation operators on the underlying configuration space over which the holonomy-diffeomorphisms form a non-commutative C*-algebra. A proof that the state that generates the representationexist is left for later publications.
AB - We present a new formulation of quantum holonomy theory, which is a candidate for a non-perturbative and background independent theory of quantum gravity coupled to matter and gauge degrees of freedom. The new formulation is based on a Hilbert space representation of the QHD(M) algebra, which is generated by holonomy-diffeomorphisms on a 3-dimensional manifold and by canonical translation operators on the underlying configuration space over which the holonomy-diffeomorphisms form a non-commutative C*-algebra. A proof that the state that generates the representationexist is left for later publications.
UR - http://www.scopus.com/inward/record.url?scp=84995745228&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1604.06319
DO - 10.48550/arXiv.1604.06319
M3 - Article
AN - SCOPUS:84995745228
VL - 64
SP - 903
EP - 908
JO - Fortschritte der Physik
JF - Fortschritte der Physik
SN - 0015-8208
IS - 11-12
ER -