论文标题

纠结 - 安蒂金克碰撞中的费米斯介导的共振

Resonance mediated by fermions in kink-antikink collisions

论文作者

Bazeia, Dionisio, Campos, João G. F., Mohammadi, Azadeh

论文摘要

我们研究了$ ϕ^4 $和正弦模型的概括,包括与Dirac Fermions的交互。我们通过考虑Fermion的反反应来观察新的共振现象。首先,我们表明负责$ ϕ^4 $模型的谐振结构的振动模式在反应变得更加重要时具有与费米昂激发态能量相同的频率。其次,我们考虑了正弦模型,并添加了fermion场,并发现尽管没有标量振动模式,但仍会出现谐振结构。负责交换机制的模式的振动频率再次是费米昂激发态的能量。因此,我们发现了一种新型的谐振能量交换机制,该机制是由费米所介导的。

We investigate generalizations of the $ϕ^4$ and sine-Gordon models, including interactions with Dirac Fermions. We observe new resonance phenomena by taking the fermion back-reaction into account. First, we show that the vibrational mode responsible for the resonance structure of the $ϕ^4$ model has the same frequency as the energy of the fermion excited state when the back-reaction becomes more significant. Second, we consider the sine-Gordon model with the addition of a fermion field and find that a resonant structure appears, despite the absence of a scalar vibrational mode. The vibrational frequency of the mode responsible for the exchange mechanism is again the energy of the fermion excited state. Therefore, we find a new type of resonant energy exchange mechanism which is mediated by fermions.

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