标题： 一个带有静态多激子的修正sine-Gordon理论 显示英文标题

标题： A modified sine-Gordon theory with static multi-kinks

摘要： 我们构建了一个修正的非BPS sine-Gordon理论，它支持任意拓扑度数为$N$的稳定静止kinks。 我们利用这个玩具模型研究了高维孤子理论中有趣的问题，这些理论支持多孤子。 我们构建了一个2-kink集体坐标模型，并用它来生成散射轨迹，这些轨迹与全场动力学进行了比较。 我们发现，该近似方法效果很好，但在辐射变得更为重要时开始失效，这可能是由于我们的模型偏离了BPS特性，或者初始kink速度较大。 我们还构造了量子2-kink，并计算了1-kink和2-kink的一圈修正。 我们研究了这些量子修正如何影响2-kink的结合能。 显示英文摘要

摘要： We construct a modified non-BPS sine-Gordon theory which supports stable static kinks of arbitrary topological degree $N$. We use this toy model to study problems which are interesting for higher-dimensional soliton theories supporting multi-solitons. We construct a 2-kink collective coordinate model and use it to generate scattering trajectories, which are compared to full-field dynamics. We find that the approximation works well, but starts to fail as radiation becomes more important due to our model becoming less BPS or when the initial kink velocities are large. We also construct the quantum 2-kink and calculate one-loop corrections to the 1- and 2-kinks. We consider how these quantum corrections affect the binding energy of the 2-kink.