Space-time foam in 2D and the sum over topologies
| dc.creator | Loll, R. | |
| dc.creator | Westra, W. | |
| dc.date | 2003-08-31 | |
| dc.date.accessioned | 2026-07-07T04:15:41Z | |
| dc.date.available | 2026-07-07T04:15:41Z | |
| dc.description | It is well-known that the sum over topologies in quantum gravity is ill-defined, due to a super-exponential growth of the number of geometries as a function of the space-time volume, leading to a badly divergent gravitational path integral. Not even in dimension 2, where a non-perturbative quantum gravity theory can be constructed explicitly from a (regularized) path integral, has this problem found a satisfactory solution. -- In the present work, we extend a previous 2d Lorentzian path integral, regulated in terms of Lorentzian random triangulations, to include space-times with an arbitrary number of handles. We show that after the imposition of physically motivated causality constraints, the combined sum over geometries and topologies is well-defined and possesses a continuum limit which yields a concrete model of space-time foam in two dimensions. | |
| dc.description | 13 pages, 6 Postscript figures; contribution to the proceedings of the Workshop on Random Geometry, Krakow, May 15-17, 2003 | |
| dc.identifier | https://arxiv.org/abs/hep-th/0309012 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0309012 | |
| dc.identifier | Acta Phys.Polon. B34 (2003) 4997-5008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/52099 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Space-time foam in 2D and the sum over topologies | |
| dc.type | text |