{"title":"Timelike boundary and corner terms in the causal set action","authors":"Fay Dowker, Roger Liu and Daniel Lloyd-Jones","doi":"10.1088/1361-6382/ae0be5","DOIUrl":null,"url":null,"abstract":"The causal set action of dimension d is investigated for causal sets that are Poisson sprinklings into manifolds that are regions of d-dimensional Minkowski space. Evidence, both analytic and numerical, is provided for the conjecture that as the discreteness length l tends to zero, the mean of the causal set action over Poisson sprinklings into a manifold with a timelike boundary, is dominated by a term proportional to the volume of the timelike boundary and diverges like l−1. A novel conjecture for the contribution to the causal set action from co-dimension two corners, also known as joints, is proposed and justified.","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":"124 1","pages":""},"PeriodicalIF":3.7000,"publicationDate":"2025-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Classical and Quantum Gravity","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1088/1361-6382/ae0be5","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
引用次数: 0
Abstract
The causal set action of dimension d is investigated for causal sets that are Poisson sprinklings into manifolds that are regions of d-dimensional Minkowski space. Evidence, both analytic and numerical, is provided for the conjecture that as the discreteness length l tends to zero, the mean of the causal set action over Poisson sprinklings into a manifold with a timelike boundary, is dominated by a term proportional to the volume of the timelike boundary and diverges like l−1. A novel conjecture for the contribution to the causal set action from co-dimension two corners, also known as joints, is proposed and justified.
期刊介绍:
Classical and Quantum Gravity is an established journal for physicists, mathematicians and cosmologists in the fields of gravitation and the theory of spacetime. The journal is now the acknowledged world leader in classical relativity and all areas of quantum gravity.