论文标题
$ ϕ^4 $模型中的费米昂转移，并保存半bps的杂质
Fermion transfer in the $ϕ^4$ model with a half-BPS preserving impurity
论文作者
论文摘要
我们研究了一个通过Yukawa术语耦合到标量的费米片场。标量字段是具有杂质的$ ϕ^4 $模型，可保留BPS属性的一半。我们分析了模型缺陷的频谱以及它们之间的碰撞均接近BPS制度，而不是。当费米昂与这些缺陷结合时，它可以从一个变成另一个缺陷，我们通过重叠（称为Bogoliubov系数）进行量化。 BPS的碰撞不太可能在缺陷之间转移费米，并且对于非偏见的速度，尤其是对于小耦合常数而言是绝热的。此外，更靠近BPS限制的限制只有一小部分费米数被辐射出来。相反，非BPS碰撞会导致费米亚场中的辐射更多，并激发了对较高结合状态的辐射，结果对参数更为敏感。
We study a fermion field coupled to a scalar via a Yukawa term. The scalar field is the $ϕ^4$ model with an impurity that preserves half of the BPS property. We analyze the spectrum of the defects of the model and collisions between them both close to the BPS regime and not. As the fermion binds to these defects, it may be transferred from one to the other, which we quantify via overlaps, known as Bogoliubov coefficients. BPS collisions are less likely to transfer the fermion between defects and can be adiabatic for non-relativistic velocities, especially for small coupling constants. Moreover, closer to the BPS limit only a small fraction of the fermion number is radiated away. In contrast, non-BPS collisions lead to more radiation in the fermion field and excitation of the fermion to higher bound states, and the result is more sensitive to the parameters.
