论文标题
介电天际模型
The Dielectric Skyrme model
论文作者
论文摘要
我们考虑了Skyrme模型的一个版本，其中动力学项和Skyrme项都乘以磁场依赖性耦合函数。为了进行合适的选择，这种“介电Skyrme模型”具有静态解决方案，使BARYON数字（或拓扑费）$ b = \ pm 1 $的相关拓扑结合饱和，但对于更高的$ | b | $。这意味着较高的电荷场配置是未结合的，并且可以通过这种介电Skyrme模型的小变形来实现较大的较高的高空。我们为这种可能性提供了一个简单明了的例子。此外，我们表明$ | b | = 1 $ bps扇区对于该模型的某些概括，例如，例如，在其与BPS Skyrme模型的特定版本耦合后，即添加了Sextic术语和特定的潜力。
We consider a version of the Skyrme model where both the kinetic term and the Skyrme term are multiplied by field-dependent coupling functions. For suitable choices, this "dielectric Skyrme model" has static solutions saturating the pertinent topological bound in the sector of baryon number (or topological charge) $B=\pm 1$ but not for higher $|B|$. This implies that higher charge field configurations are unbound, and loosely bound higher skyrmions can be achieved by small deformations of this dielectric Skyrme model. We provide a simple and explicit example for this possibility. Further, we show that the $|B|=1$ BPS sector continues to exist for certain generalizations of the model like, for instance, after its coupling to a specific version of the BPS Skyrme model, i.e., the addition of the sextic term and a particular potential.
