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Participant |
Napolitano, George | |||||||
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Institution |
Matematikcentrum, Lund University - Sölvegatan 18 - Lund - Skåne - Sweden | |||||||
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Session |
QG1 |
Accepted |
Yes |
Order |
2 |
Time |
14:52 | 22'30" |
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Talk |
Oral abstract |
Title |
Critical Line and Magnetization Properties of the Ising Model on the Random Planar Causal Triangulation | |||||
| Coauthors | Napolitano, George M.; Turova, Tatyana | |||||||
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Abstract |
In this talk I will discuss the annealed coupling of an Ising model with the causal dynamical triangulation model of quantum gravity. I will describe certain properties of a Gibbs probability measure defined on Ising spin configurations on causal triangulations of the plane. In particular, I will show the region where such measure can be defined, providing bounds on the its boundary (critical line). Furthermore, it will be proven that for any finite random triangulation the magnetization of the central spin is sensitive of the boundary conditions, and that in the infinite volume limit such magnetization vanishes for values of the temperature high enough. |
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Pdf file |
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