Spectral Dimension from Nonlocal Dynamics on Causal Sets
General Relativity and Quantum Cosmology
2016-02-17 v2 High Energy Physics - Theory
Abstract
We investigate the spectral dimension obtained from non-local continuum d'Alembertians derived from causal sets. We find a universal dimensional reduction to 2 dimensions, in all dimensions. We conclude by discussing the validity and relevance of our results within the broader context of quantum field theories based on these nonlocal dynamics.
Cite
@article{arxiv.1507.00330,
title = {Spectral Dimension from Nonlocal Dynamics on Causal Sets},
author = {Alessio Belenchia and Dionigi M. T. Benincasa and Antonino Marciano and Leonardo Modesto},
journal= {arXiv preprint arXiv:1507.00330},
year = {2016}
}
Comments
7 pages, 2 figures, version accepted for publication in Phys. Rev. D