Bounce configuration from gradient flow
Bounce configuration from gradient flow
复制标题
梯度流的弹跳配置
DOI：
10.1016/j.physletb.2019.135115
复制
发表时间：
2020
影响因子：
4.4
通讯作者：
Shoji Yutaro
中科院分区：
文献类型：
--
作者：
Chigusa So;Moroi Takeo;Shoji Yutaro
基于梯度流，我们提出了一种确定假真空衰减弹跳位形的新方法。我们的方法是适用于一个大类的模型与多个领域。由于反弹是动作的鞍点，因此最小化动作的朴素梯度流方法不起作用。我们指出，只要对流动方程作一个简单的修改，就可以使反弹成为稳定的不动点，而假真空位形成为不稳定的不动点。因此，可以简单地通过跟随流动而无需仔细选择初始配置来获得反弹配置。通过数值分析，我们证实了我们的主张的有效性，检查我们提出的流动方程确实有流入反弹配置的解决方案。
Based on the gradient flow, we propose a new method to determine the bounce configuration for false vacuum decay. Our method is applicable to a large class of models with multiple fields. Since the bounce is a saddle point of an action, a naive gradient flow method which minimizes the action does not work. We point out that a simple modification of the flow equation can make the bounce its stable fixed point while the false vacuum configuration an unstable one. Consequently, the bounce configuration can be obtained simply by following the flow without a careful choice of an initial configuration. With numerical analysis, we confirm the validity of our claim, checking that the flow equation we propose indeed has solutions that flow into the bounce configuration.