$ϕ^4$理论中的摆动扭结
Wobbling kinks in $ϕ^4$ theory
摘要：
我们提出了一个统一的渐近展开的摆动扭结的摆动模式的振幅的任何顺序。远场和扭结中心附近的渐近展开式描述了辐射的长程行为。摆动模的复振幅服从一个简单的非线性阻尼常微分方程。我们确认的$t^{-1/2}$衰减规律的振幅，这是以前获得的能量考虑的基础上。
英文摘要：
We present a uniform asymptotic expansion of the wobbling kink to any order in the amplitude of the wobbling mode. The long-range behaviour of the radiation is described by matching the asymptotic expansions in the far field and near the core of the kink. The complex amplitude of the wobbling mode is shown to obey a simple ordinary differential equation with nonlinear damping. We confirm the $t^{-1/2}$-decay law for the amplitude which was previously obtained on the basis of energy considerations.
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