标题： 希格斯势中经典非线性大质量波解周围的量子涨落不稳定性和粒子产生 显示英文标题

标题： Instability of quantum fluctuation around classical nonlinear massive wave solution in Higgs potential and particle creations

摘要： 我们讨论了Higgs势中非线性大质量波解附近的量子涨落动力学。特别是，我们分析了模式函数的稳定性和不稳定性。利用Hill方程的稳定性条件，我们得到了模式函数在量子涨落中的不稳定性区域，作为模式方程参数的函数。我们表明，系统在粒子数方面的两种类型不稳定性可以通过不稳定性参数区域内的Floquet指数来理解。这种分析对于理解相变中期经典背景略微偏离常量背景时，围绕非线性大质量波解的量子场论动力学会非常有用。 显示英文摘要

摘要： We discuss the dynamics of the quantum fluctuation around the nonlinear massive wave solution in the Higgs potential. In particular, we analyze the stability and instability of the mode function. Using the stability condition for Hill's equation, we obtain the instability region of the mode function in the quantum fluctuation as the function of the parameters in the mode equation. We show that the two types of the instabilities of the system in the particle number can be understood by the Floquet's exponents in the instability parameter region. The analysis will be useful to understand the dynamics of the quantum field theory around the nonlinear massive wave solution when the classical background slightly deviates from the constant background during the middle stage of the phase transition.