Simulations of Discrete Random Geometries: Simplicial Quantum Gravity and Quantum String Theory
| dc.creator | Tabaczek, Joachim | |
| dc.date | 2001-08-16 | |
| dc.date.accessioned | 2026-07-07T03:38:30Z | |
| dc.date.available | 2026-07-07T03:38:30Z | |
| dc.description | I investigate two discrete models of random geometries, namely simplicial quantum gravity and quantum string theory. In four-dimensional simplicial quantum gravity, I show that the addition of matter gauge fields to the model is capable of changing its phase structure by replacing the branched polymers of the pure gravity model with a new phase that has a negative string susceptibility exponent and a fractal dimension of four. Some of the results are derived from a strong coupling expansion of the model, a technique which is used here for the first time in this context. In quantum string theory, I study a discrete version of the IIB superstring. I show that the divergences encountered in the discretization of the bosonic string are eliminated in the supersymmetric case. I give theoretical arguments for the appearance of one-dimensional structures in the region of large system extents that manifest as a power-law tail in the link length distribution; this is confirmed by numerical simulations of the model. I also examine a lower-dimensional version of the IKKT matrix model, in which a similar effect can be observed. | |
| dc.description | 80 pages, Latex + 30 eps figures, PhD Thesis | |
| dc.identifier | https://arxiv.org/abs/hep-lat/0108023 | |
| dc.identifier | http://arxiv.org/abs/hep-lat/0108023 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/38558 | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | Simulations of Discrete Random Geometries: Simplicial Quantum Gravity and Quantum String Theory | |
| dc.type | text |