一流约束的放松与规规理论的量子化:从 "无物质的物质 "到量子引力中的时间重现

IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Annals of Physics Pub Date : 2024-09-02 DOI:10.1016/j.aop.2024.169783
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引用次数: 0

摘要

我们从概念上概述了处理典型规规理论初值问题的一种特殊方法。我们强调,如果我们把第一类相空间约束解释为固定新自由度的值,它们是如何被放松的。这种想法可以追溯到福克和斯图科尔伯格,它导致了对理论的规对称性的限制,在某些情况下,它相当于把自然常数推广到物理场。最近,这一表述的不同版本在文献中获得了相当多的关注,尤其是在引力、宇宙学和电磁学的经典和量子描述中,出现了若干独立的迭代。特别是在经典量子引力中,福克-斯图克伯格方法与所谓的时间问题相关。我们的综述回顾并概括了福克和斯图克尔伯格的工作及其物理解释,旨在从概念上统一文献中出现的该思想的不同迭代,并激励进一步的研究。
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Relaxation of first-class constraints and the quantization of gauge theories: From “matter without matter” to the reappearance of time in quantum gravity

We make a conceptual overview of a particular approach to the initial-value problem in canonical gauge theories. We stress how the first-class phase-space constraints may be relaxed if we interpret them as fixing the values of new degrees of freedom. This idea goes back to Fock and Stueckelberg, leading to restrictions of the gauge symmetry of a theory, and it corresponds, in certain cases, to promoting constants of Nature to physical fields. Recently, different versions of this formulation have gained considerable attention in the literature, with several independent iterations, particularly in classical and quantum descriptions of gravity, cosmology, and electromagnetism. In particular, in the case of canonical quantum gravity, the Fock–Stueckelberg approach is relevant to the so-called problem of time. Our overview recalls and generalizes the work of Fock and Stueckelberg and its physical interpretation with the aim of conceptually unifying the different iterations of the idea that appear in the literature and of motivating further research.

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来源期刊
Annals of Physics
Annals of Physics 物理-物理:综合
CiteScore
5.30
自引率
3.30%
发文量
211
审稿时长
47 days
期刊介绍: Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance. The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.
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