Spectral dimension flow on continuum random multigraph
High Energy Physics - Theory
2012-10-03 v1 Mathematical Physics
math.MP
Abstract
We review a recently introduced effective graph approximation of causal dynamical triangulations (CDT), the multigraph ensemble. We argue that it is well suited for analytical computations and that it captures the physical degrees of freedom which are important for the reduction of the spectral dimension as observed in numerical simulations of CDT. In addition multigraph models allow us to study the relationship between the spectral dimension and the Hausdorff dimension, thus establishing a link to other approaches to quantum gravity
Keywords
Cite
@article{arxiv.1209.4786,
title = {Spectral dimension flow on continuum random multigraph},
author = {Georgios Giasemidis and John F. Wheater and Stefan Zohren},
journal= {arXiv preprint arXiv:1209.4786},
year = {2012}
}
Comments
6 pages, 1 figure, to appear in the Proceedings of Sixth International School on Field Theory and Gravitation 2012 (Petropolis, Brazil)