Entropy and the link action in the causal set path-sum. (29th December 2020)

• Record Type: Journal Article
• Authors: Mathur, Abhishek; Singh, Anup Anand; Surya, Sumati
• Is Part Of: Classical and quantum gravity. Volume 38:Number 4(2021)
• Publication Date: 2020-12-29
• Subjects: quantum gravity -- causal set theory -- partial orders -- link action -- path-sum; Quantum gravity -- Periodicals; Gravitation -- Periodicals; Relativity (Physics) -- Periodicals; Space and time -- Periodicals; Periodicals; 521.1
• DOI: 10.1088/1361-6382/abd300
• Languages: English
• ISSNs: 0264-9381

Abstract

Abstract: In causal set theory the gravitational path integral is replaced by a path-sum over a sample space Ω n of n -element causal sets. The contribution from non-manifold-like orders dominates Ω 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.