Timelike boundary and corner terms in the causal set action

IF 3.7 3区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS
Fay Dowker, Roger Liu and Daniel Lloyd-Jones
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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.
因果集作用中的类时边界项和角项
对d维闵可夫斯基空间区域流形中的泊松散射因果集进行了d维因果集作用的研究。当离散长度l趋近于零时,具有类时边界的流形上泊松散射的因果集作用的平均值被一个与类时边界的体积成比例的项所支配,并发散为l−1。提出并证明了协维两个角(也称为关节)对因果集作用的贡献的新猜想。
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来源期刊
Classical and Quantum Gravity
Classical and Quantum Gravity 物理-天文与天体物理
CiteScore
7.00
自引率
8.60%
发文量
301
审稿时长
2-4 weeks
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.
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