3D quantum gravity coupled to matter

We investigate the phase structure of three-dimensional quantum gravity coupled to an Ising spin system by means of numerical simulations. The quantum gravity part is modelled by the summation over random simplicial manifolds, and the Ising spins are located in the center of the tetrahedra, which co...

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Bibliographic Details
Published in:Physics letters. B 1992-12, Vol.297 (3), p.253-260
Main Authors: Ambjørn, J., Burda, Z., Jurkiewicz, J., Kristjansen, C.F.
Format: Article
Language:English
Subjects:
Exact sciences and technology
General relativity and gravitation
Physics
Quantum gravity
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Summary:We investigate the phase structure of three-dimensional quantum gravity coupled to an Ising spin system by means of numerical simulations. The quantum gravity part is modelled by the summation over random simplicial manifolds, and the Ising spins are located in the center of the tetrahedra, which constitute the building blocks of the piecewise linear manifolds. We find that the coupling between spin and geometry is weak away from the critical point of the Ising model. At the critical point there is clear coupling, which, however, does not seem to change the first order transition between the “hot” and “cold” phase of three dimensional simplicial quantum gravity observed earlier.
ISSN:0370-2693
1873-2445
DOI:10.1016/0370-2693(92)91258-B