Entropy and the Link Action in the Causal Set Path-Sum
General Relativity and Quantum Cosmology
2021-02-03 v2 High Energy Physics - Theory
Combinatorics
Abstract
In causal set theory the gravitational path integral is replaced by a path-sum over a sample space of -element causal sets. The contribution from non-manifold-like orders dominates for large and therefore must be tamed by a suitable action in the low energy limit of the theory. We extend the work of Loomis and Carlip on the contribution of sub-dominant bilayer orders to the causal set path-sum and show that the "link action" suppresses the dominant Kleitman-Rothschild orders for the same range of parameters.
Cite
@article{arxiv.2009.07623,
title = {Entropy and the Link Action in the Causal Set Path-Sum},
author = {Abhishek Mathur and Anup Anand Singh and Sumati Surya},
journal= {arXiv preprint arXiv:2009.07623},
year = {2021}
}
Comments
14 pages, 10 figures. Section 2 revised and more figures added. Some editing in the introduction and conclusion section, section 3.1 renamed and references added