Bounce Configuration from Gradient Flow. (arXiv:1906.10829v1 [hep-ph])
<a href="http://arxiv.org/find/hep-ph/1/au:+Chigusa_S/0/1/0/all/0/1">So Chigusa</a>, <a href="http://arxiv.org/find/hep-ph/1/au:+Moroi_T/0/1/0/all/0/1">Takeo Moroi</a>, <a href="http://arxiv.org/find/hep-ph/1/au:+Shoji_Y/0/1/0/all/0/1">Yutaro Shoji</a>
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 configuration is a saddle
point of an action, a naive gradient flow method does not work. We point out
that a simple modification of the flow equation can make the bounce
configuration 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.
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 configuration is a saddle
point of an action, a naive gradient flow method does not work. We point out
that a simple modification of the flow equation can make the bounce
configuration 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.
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