摆动扭折上的费米子：正规模与准正规模
Fermions on wobbling kinks: normal versus quasinormal modes
摘要：
本文研究了在摆动扭折背景下的费米子系统。为了研究涨落对费米子-扭结相互作用的影响，我们采用了量子力学中的含时微扰理论。为此，我们计算Bogoliubov系数中给出的状态之间的跃迁概率。我们推导出费米的黄金法则的模型，它允许过渡到连续在一个恒定的速度，如果费米子扭结耦合常数小于摆动频率。此外，我们还研究了用拟正规模代替形模的系统。在这种情况下，由于模式的泄漏，到连续谱的跃迁速率随时间衰减，并且对于大的耦合常数，最终跃迁概率以类似于费米黄金法则的方式急剧下降。在整个论文中，我们将微扰结果与数值模拟进行了比较，并表明它们非常一致。
英文摘要：
The system consisting of a fermion in the background of a wobbling kink is studied in this paper. To investigate the impact of the wobbling on the fermion-kink interaction, we employ the time-dependent perturbation theory formalism in quantum mechanics. To do so, we compute the transition probabilities between states given in terms of the Bogoliubov coefficients. We derive Fermi's golden rule for the model, which allows the transition to the continuum at a constant rate if the fermion-kink coupling constant is smaller than the wobbling frequency. Moreover, we study the system replacing the shape mode with a quasinormal mode. In this case, the transition rate to continuum decays in time due to the leakage of the mode, and the final transition probability decreases sharply for large coupling constants in a way that is analogous to Fermi's golden rule. Throughout the paper, we compare the perturbative results with numerical simulations and show that they are in good agreement.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
