Rindler Wigner distributions for non-vacuum Minkowski states

Nitesh K. Dubey, Sanved Kolekar
{"title":"Rindler Wigner distributions for non-vacuum Minkowski states","authors":"Nitesh K. Dubey, Sanved Kolekar","doi":"arxiv-2409.10054","DOIUrl":null,"url":null,"abstract":"In the 1970s, Fulling, Davies, and Unruh demonstrated that the vacuum state\nperceived by an inertial observer in Minkowski space appears as a thermal bath\nto a uniformly accelerated observer. We explore the transformation of the\nWigner distribution of a real scalar field from an inertial to a Rindler frame,\nutilizing both Minkowski and Unruh modes. We present a general expression for\nthe reduced Wigner distribution for a specific set of massless scalar field\nconfigurations, and validate it against known distributions within this set.\nThis includes arbitrary Gaussian states of Unruh-Minkowski modes, the Minkowski\nvacuum state, the Rindler vacuum, and the thermal bath of Unruh particles.\nAdditionally, we analyze several other distributions, such as a uniform\nmomentum distribution, a slight deviation from the Minkowski vacuum, and a\ndistribution with a Fermionic component in the Rindler frame. The conclusions\nare discussed.","PeriodicalId":501339,"journal":{"name":"arXiv - PHYS - High Energy Physics - Theory","volume":"2 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - High Energy Physics - Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.10054","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

Abstract

In the 1970s, Fulling, Davies, and Unruh demonstrated that the vacuum state perceived by an inertial observer in Minkowski space appears as a thermal bath to a uniformly accelerated observer. We explore the transformation of the Wigner distribution of a real scalar field from an inertial to a Rindler frame, utilizing both Minkowski and Unruh modes. We present a general expression for the reduced Wigner distribution for a specific set of massless scalar field configurations, and validate it against known distributions within this set. This includes arbitrary Gaussian states of Unruh-Minkowski modes, the Minkowski vacuum state, the Rindler vacuum, and the thermal bath of Unruh particles. Additionally, we analyze several other distributions, such as a uniform momentum distribution, a slight deviation from the Minkowski vacuum, and a distribution with a Fermionic component in the Rindler frame. The conclusions are discussed.
非真空闵科夫斯基态的林德勒-维格纳分布
20 世纪 70 年代,富林、戴维斯和乌恩鲁证明,闵科夫斯基空间中的惯性观测者所感知的真空状态,在匀加速观测者看来是一个热水浴。我们探讨了实标量场的维格纳分布从惯性框架到林德勒框架的变换,同时利用了闵科夫斯基模式和乌恩鲁模式。我们提出了一组特定无质量标量场配置的还原维格纳分布的一般表达式,并根据这组配置中的已知分布进行了验证,其中包括 Unruh-Minkowski 模式的任意高斯态、Minkowskivacuum 态、Rindler 真空和 Unruh 粒子的热浴。此外,我们还分析了其他几种分布,如统一动量分布、与 Minkowski 真空的轻微偏差以及 Rindler 框架中具有费米子分量的分布。我们对结论进行了讨论。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信