非线性有质量经典波解周围有质量规范量子场的不稳定性图
Instability diagram of the massive gauge quantum fields around the nonlinear massive classical wave solution
浏览论文内容
中文总结 AI 辅助
该研究针对耦合非线性有质量经典波解的有质量规范量子场，借助普罗卡约束的形式体系与希尔方程理论，通过弗洛凯图揭示了W、Z玻色子不同极化模式的不稳定性区域特征。
中文摘要 AI 辅助
研究了耦合到非线性有质量波解的有质量规范场的量子涨落在时间动力学中的稳定性与不稳定性。借助希尔方程理论，我们获得了横向极化和纵向极化模式的不稳定性，以初始场值参数与量子有质量规范场空间动量的二维图形式呈现。我们考虑普罗卡（Proca）约束，提出了分析有质量规范场的形式体系，发现该形式体系可通过弗洛凯指数预测不稳定量子模式的时间动力学。所得的极化分辨弗洛凯图显示，横向模式仅具有狭窄的参量共振带，而纵向模式则呈现出由参量和旋节线不稳定性共同产生的宽得多的区域。我们还发现，W玻色子存在额外的低动量不稳定性区域，而该区域在Z玻色子领域中不存在或被强烈抑制。
英文摘要
The stability and instability in the time dynamics of quantum fluctuation of the massive gauge field coupling to the nonlinear massive wave solution is studied. In particular, the instability in the transverse polarization and longitudinal polarization modes are obtained as the two dimensional plot of the initial field value parameter and the spatial momentum of the quantum massive gauge fields with the help of the theory of the Hill's equation. We present the formalism to analyze the massive gauge field by taking into account Proca constraint and we found that our formalism can predict the time dynamics of the unstable quantum mode by the Floquet index. The resulting polarization-resolved Floquet maps show that the transverse modes possess only narrow parametric-resonance bands, whereas the longitudinal modes exhibit substantially broader regions generated by both parametric and spinodal instabilities. We also find additional low-momentum instability regions for the $W$ boson that are absent or strongly suppressed in the $Z$ sector.
