量子宇宙学是盒子里的格子

IF 5 2区物理与天体物理 Q1 Physics and Astronomy

Physical Review D Pub Date : 2024-11-07 DOI:10.1103/physrevd.110.103504

Mustafa Saeed, Viqar Husain

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引用次数: 0

摘要

我们描述了用网格施加基本离散度的尺度变量标量场宇宙学的量化方案。为量子化而选择的变量决定了晶格，而每个晶格都会产生从半经典态导出的不同有效方程。我们证明，要求普朗克密度下的反弹可以唯一地选择体积晶格，并得到与环量子宇宙学相同的有效弗里德曼方程。我们还提出了有效方程的有效性条件。

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Quantum cosmology as a lattice in a box

We describe quantization schemes for scalar field cosmology in the metric variables with fundamental discreteness imposed with a lattice. The variables chosen for quantization determine the lattice, and each lattice produces distinct effective equations derived from semiclassical states. We show that requiring a bounce at the Planck density uniquely selects the volume lattice and gives the same effective Friedmann equation as that obtained in loop quantum cosmology. We also present conditions for the validity of the effective equations.

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来源期刊

Physical Review D 物理-天文与天体物理

CiteScore

9.20

自引率

36.00%

发文量

审稿时长

2 months

期刊介绍： Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics. PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including: Particle physics experiments, Electroweak interactions, Strong interactions, Lattice field theories, lattice QCD, Beyond the standard model physics, Phenomenological aspects of field theory, general methods, Gravity, cosmology, cosmic rays, Astrophysics and astroparticle physics, General relativity, Formal aspects of field theory, field theory in curved space, String theory, quantum gravity, gauge/gravity duality.