Dynamical Regge Calculus as Lattice Quantum Gravity
| dc.creator | Hagura, Hiroyuki | |
| dc.date | 2003-04-16 | |
| dc.date | 2003-04-24 | |
| dc.date.accessioned | 2026-07-07T03:38:56Z | |
| dc.date.available | 2026-07-07T03:38:56Z | |
| dc.description | We propose a hybrid model of simplicial quantum gravity by performing at once dynamical triangulations and Regge calculus. A motive for the hybridization is to give a dynamical description of topology-changing processes of Euclidean spacetime. In addition, lattice diffeomorphisms as invariance of the simplicial geometry are generated by certain elementary moves in the model. We attempt also a lattice-theoretic derivation of the black hole entropy using the symmetry. Furthermore, numerical simulations of 3D pure gravity are carried out,exhibiting a large hysteresis between two phases. We also measure geometric properties of Euclidean `time slice' based on a geodesic distance, resulting in a fractal structure in the strong-coupling phase. Our hybrid model not only reproduces numerical results consistent with those of dynamical triangulations and Regge calculus, but also opens a possibility of studying quantum black hole physics on the lattice. | |
| dc.description | 35 pages, typos corrected and minor improvements | |
| dc.identifier | https://arxiv.org/abs/hep-lat/0304011 | |
| dc.identifier | http://arxiv.org/abs/hep-lat/0304011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/38737 | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | Dynamical Regge Calculus as Lattice Quantum Gravity | |
| dc.type | text |