Topological Characteristics of Random Surfaces Generated by Cubic Interactions
| dc.creator | Pippenger, Nicholas | |
| dc.creator | Schleich, Kristin | |
| dc.date | 2003-06-11 | |
| dc.date.accessioned | 2026-07-07T03:27:54Z | |
| dc.date.available | 2026-07-07T03:27:54Z | |
| dc.description | We consider random topologies of surfaces generated by cubic interactions. Such surfaces arise in various contexts in 2-dimensional quantum gravity and as world-sheets in string theory. Our results are most conveniently expressed in terms of a parameter h = n/2 + χ, where n is the number of interaction vertices and χis the Euler characteristic of the surface. Simulations and results for similar models suggest that Ex[h] = log (3n) + γ+ O(1/n) and Var[h] = log (3n) + γ- π^2/6 + O(1/n). We prove rigourously that Ex[h] = log n + O(1) and Var[h] = O(log n). We also derive results concerning a number of other characteristics of the topology of these random surfaces. | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0306049 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0306049 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/34618 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Topological Characteristics of Random Surfaces Generated by Cubic Interactions | |
| dc.type | text |