量子引力的因果集方法

IF 26.3 2区 物理与天体物理 Q1 PHYSICS, PARTICLES & FIELDS
Sumati Surya
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引用次数: 80

摘要

量子引力的因果集理论(CST)方法假设,在最基本的层面上,时空是离散的,时空连续体被局部有限的偏序集或“因果集”所取代。因果集上的偏序表示原因果关系,局部有限表示内在的离散性。在连续统近似中,前者对应于时空因果关系,后者对应于基本的时空原子性,因此连续统中的有限体积区域只包含有限数量的因果集元素。CST深深植根于时空的洛伦兹特征,其中因果结构偏置起了主要作用。重要的是,CST中基本离散性的假设并不违反连续统近似中的局部洛伦兹不变性。另一方面,离散性和洛伦兹不变性的结合产生了一种非局部性特征,使CST与大多数其他量子引力方法区别开来。在这篇综述中,我们对CST进行了广泛的、半教学性的介绍,突出了关键的结果以及一些关键的开放性问题。这篇综述既适用于量子引力的初学者,也适用于该领域的资深研究人员。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

The causal set approach to quantum gravity

The causal set approach to quantum gravity

The causal set theory (CST) approach to quantum gravity postulates that at the most fundamental level, spacetime is discrete, with the spacetime continuum replaced by locally finite posets or “causal sets”. The partial order on a causal set represents a proto-causality relation while local finiteness encodes an intrinsic discreteness. In the continuum approximation the former corresponds to the spacetime causality relation and the latter to a fundamental spacetime atomicity, so that finite volume regions in the continuum contain only a finite number of causal set elements. CST is deeply rooted in the Lorentzian character of spacetime, where a primary role is played by the causal structure poset. Importantly, the assumption of a fundamental discreteness in CST does not violate local Lorentz invariance in the continuum approximation. On the other hand, the combination of discreteness and Lorentz invariance gives rise to a characteristic non-locality which distinguishes CST from most other approaches to quantum gravity. In this review we give a broad, semi-pedagogical introduction to CST, highlighting key results as well as some of the key open questions. This review is intended both for the beginner student in quantum gravity as well as more seasoned researchers in the field.

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来源期刊
Living Reviews in Relativity
Living Reviews in Relativity 物理-物理:粒子与场物理
CiteScore
69.90
自引率
0.70%
发文量
0
审稿时长
20 weeks
期刊介绍: Living Reviews in Relativity is a peer-reviewed, platinum open-access journal that publishes reviews of research across all areas of relativity. Directed towards the scientific community at or above the graduate-student level, articles are solicited from leading authorities and provide critical assessments of current research. They offer annotated insights into key literature and describe available resources, maintaining an up-to-date suite of high-quality reviews, thus embodying the "living" aspect of the journal's title. Serving as a valuable tool for the scientific community, Living Reviews in Relativity is often the first stop for researchers seeking information on current work in relativity. Written by experts, the reviews cite, explain, and assess the most relevant resources in a given field, evaluating existing work and suggesting areas for further research. Attracting readers from the entire relativity community, the journal is useful for graduate students conducting literature surveys, researchers seeking the latest results in unfamiliar fields, and lecturers in need of information and visual materials for presentations at all levels.
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