論文

査読有り
2018年2月28日

Absolute Lower Bound on the Bounce Action

Physical Review Letters
  • Ryosuke Sato
  • ,
  • Masahiro Takimoto

120
9
開始ページ
091802
終了ページ
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1103/PhysRevLett.120.091802
出版者・発行元
American Physical Society

The decay rate of a false vacuum is determined by the minimal action solution of the tunneling field: bounce. In this Letter, we focus on models with scalar fields which have a canonical kinetic term in N(&gt
2) dimensional Euclidean space, and derive an absolute lower bound on the bounce action. In the case of four-dimensional space, we show the bounce action is generically larger than 24/λcr, where λcr≡max[-4V(φ)/|φ|4] with the false vacuum being at φ=0 and V(0)=0. We derive this bound on the bounce action without solving the equation of motion explicitly. Our bound is derived by a quite simple discussion, and it provides useful information even if it is difficult to obtain the explicit form of the bounce solution. Our bound offers a sufficient condition for the stability of a false vacuum, and it is useful as a quick check on the vacuum stability for given models. Our bound can be applied to a broad class of scalar potential with any number of scalar fields. We also discuss a necessary condition for the bounce action taking a value close to this lower bound.

リンク情報
DOI
https://doi.org/10.1103/PhysRevLett.120.091802
arXiv
http://arxiv.org/abs/arXiv:1707.01099
URL
http://inspirehep.net/record/1608778
URL
http://orcid.org/0000-0003-2745-4208
ID情報
  • DOI : 10.1103/PhysRevLett.120.091802
  • ISSN : 1079-7114
  • ISSN : 0031-9007
  • ORCIDのPut Code : 34724823
  • arXiv ID : arXiv:1707.01099
  • SCOPUS ID : 85042937092
  • ORCIDで取得されたその他外部ID : a:1:{i:0;a:1:{s:8:"other-id";s:7:"1608778";}}

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