Stochastic Tunneling in de Sitter Spacetime

IF 2.5 4区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS
Universe Pub Date : 2024-07-11 DOI:10.3390/universe10070292
Taiga Miyachi, Jiro Soda, Junsei Tokuda
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引用次数: 0

Abstract

Tunneling processes in de Sitter spacetime are studied by using the stochastic approach. We evaluate the Martin–Siggia–Rose–Janssen–de Dominicis (MSRJD) functional integral by using the saddle-point approximation to obtain the tunneling rate. The applicability conditions of this method are clarified using the Schwinger–Keldysh formalism. In the case of a shallow potential barrier, we reproduce the Hawking–Moss (HM) tunneling rate. Remarkably, in contrast to the HM picture, the configuration derived from the MSRJD functional integral satisfies physically natural boundary conditions. We also discuss the case of a steep potential barrier and find an interesting Coleman–de Luccia (CDL) bubblelike configuration. Since the starting point of our analysis is the Schwinger–Keldysh path integral, which can be formulated in a more generic setup and incorporates quantum effects, our formalism sheds light on further studies of tunneling phenomena from a real-time perspective.
德西特时空中的随机隧道效应
我们采用随机方法研究了德西特时空中的隧道过程。我们通过使用鞍点近似来评估马丁-西吉亚-罗斯-扬森-德-多米尼克斯(MSRJD)函数积分,从而得到隧穿率。我们利用施文格-凯尔迪什形式主义阐明了这种方法的适用条件。在浅势垒的情况下,我们重现了霍金-莫斯(HM)隧道率。值得注意的是,与霍金-莫斯(HM)的情况相反,从 MSRJD 函数积分中得出的构型满足物理上自然的边界条件。我们还讨论了陡峭势垒的情况,并发现了有趣的科尔曼-德-卢西亚(CDL)气泡状构型。由于我们分析的起点是施文格-凯尔迪什路径积分,它可以在更通用的设置中进行表述,并结合了量子效应,因此我们的形式主义为从实时角度进一步研究隧道现象提供了启示。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Universe
Universe Physics and Astronomy-General Physics and Astronomy
CiteScore
4.30
自引率
17.20%
发文量
562
审稿时长
24.38 days
期刊介绍: Universe (ISSN 2218-1997) is an international peer-reviewed open access journal focused on fundamental principles in physics. It publishes reviews, research papers, communications, conference reports and short notes. Our aim is to encourage scientists to publish their research results in as much detail as possible. There is no restriction on the length of the papers.
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