指数广义涡
Exponentially generalized vortex
摘要：
在这项工作中，我们提出了一个指数广义阿贝尔模型。我们研究了耦合到Maxwell和Chern-Simons场的模型中涡旋结构的存在。我们选择调查的动力学的复杂标量场的模型分别耦合到麦克斯韦项和陈-西蒙斯项。为此，我们分析了Bogomol'nyi方程在这两种情况下描述的静态场配置。一个有趣的结果出现时，我们注意到，标量场的解决方案产生退化的最小能量配置的一个因素$ν^{2}$在麦克斯韦的情况下。另一方面，在Chern-Simons的情况下，该扇区中的解退化因子为$κν^{2}/a_{s}$。最后，我们数值求解了Bogomol'nyi方程，并讨论了我们的结果。
英文摘要：
In this work, we propose an exponentially generalized Abelian model. We investigated the presence of vortex structures in models coupled to Maxwell and Chern-Simons fields. We chose to investigate the dynamics of the complex scalar field in models coupled separately to the Maxwell term and the Chern-Simons term. For this, we analyze the Bogomol'nyi equations in both cases to describe the static field configurations. An interesting result appears when we note that scalar field solutions generate degenerate minimum energy configurations by a factor of $ν^{2}$ in Maxwell's case. On the other hand, in the case of Chern-Simons, the solutions in this sector are degenerate by a factor of $κν^{2}/a_{s}$. Finally, we solve the Bogomol'nyi equations numerically and discuss our results.
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