论文标题
具有Maxwell或Chern-Simons Dynamics的广义模型中的远程涡流配置
Long range vortex configurations in generalized models with the Maxwell or Chern-Simons dynamics
论文作者
论文摘要
在这项工作中，我们处理的是麦克斯韦·希格斯（Maxwell-Higgs）或Chern-simons-higgs模型中的涡流，这些涡流产生了远距离的尾巴。我们找到一阶微分方程，这些方程支持最小能量解决方案来解决运动方程。在麦克斯韦场景中，我们使用通用的磁渗透率，从而导致用解决方案，磁场和能量密度描述的涡流尾部，其尾部范围比标准指数范围更远。我们还找到了一种获得具有麦克斯韦案例相同标量和磁场曲线的Chern-Simons模型的方式。通过这样做，我们还可以找到具有上述远距离特征的涡流，在Chern-Simons模型的电场中也存在。目前的结果可能会激发对非依赖主义模型的研究，特别是在涉及Rydberg Atoms的情况下，众所周知，该模型会呈现远距离相互作用和相对较长的寿命。
In this work we deal with vortices in Maxwell-Higgs or Chern-Simons-Higgs models that engender long range tails. We find first order differential equations that support minimum energy solutions which solve the equations of motion. In the Maxwell scenario, we work with generalised magnetic permeabilities that lead to vortices described by solutions, magnetic field and energy density with power-law tails that extend farther than the standard exponential ones. We also find a manner to obtain a Chern-Simons model with the same scalar and magnetic field profiles of the Maxwell case. By doing so, we also find vortices with the aforementioned long range feature, which is also present in the electric field in the Chern-Simons model. The present results may motivate investigations on nonrelativistic models, in particular in the case involving Rydberg atoms, which are known to present long range interactions and relatively long lifetimes.
