Entropy and the Link Action in the Causal Set Path-Sum

Autor:	Mathur, Abhishek, Singh, Anup Anand, Surya, Sumati
Rok vydání:	2020
Předmět:	General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematics - Combinatorics
Druh dokumentu:	Working Paper
DOI:	10.1088/1361-6382/abd300
Popis:	In causal set theory the gravitational path integral is replaced by a path-sum over a sample space $\Omega_n$ of $n$-element causal sets. The contribution from non-manifold-like orders dominates $\Omega_n$ for large $n$ 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. Comment: 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
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2009.07623 Zobrazit plný text záznamu View this record from Arxiv