2018年2月28日
Absolute Lower Bound on the Bounce Action
Physical Review Letters
- ,
- 巻
- 120
- 号
- 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(>
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.
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
- 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";}}