论文标题
关于正弦 - 戈登扭结的评论 - 特里米昂系统：局部模式和散射
Remarks on sine-Gordon kink--fermion system: localized modes and scattering
论文作者
论文摘要
我们以1+1尺寸的玩具模型的数值研究了扭结 - 弗里米昂的相互作用，该模型描述了正弦 - 戈登的扭结，并与无质量的dirac fermions伴随着反应。我们表明，费米子模式的频谱在很大程度上取决于耦合的选择，特别是没有局部模式用于最小的Yukawa耦合。我们通过扭结分析费米子数据包的散射。我们证明碰撞的结果动态地取决于传入的费米昂数据包的阶段，这导致了扭结的正面和负加速度的交替制度。
We study numerically the kink-fermion interactions in a 1+1 dimensional toy model, which describes sine-Gordon kinks coupled to the massless Dirac fermions with backreaction. We show that the spectrum of fermionic modes strongly depends on the choice of the coupling, in particular, there are no localized modes for a minimal Yukawa coupling. We analyze the scattering of the fermionic packet by the kink. We demonstrate that the outcome of the collision dynamically depends on the phase of the incoming fermion packet, it results in alternating regimes of positive and negative acceleration of the kink.
