论文标题
关于Chern-Simons术语在Abelian衡量Skyrme模型中的影响
On the effects of the Chern-Simons term in an Abelian gauged Skyrme model in $d=4+1$ dimensions
论文作者
论文摘要
我们研究了一个Abelian计量的$ O（5）$ Skyrme型号$ 4+1 $尺寸，其中包括$ f^4 $ Maxwell和Chern-Simons条款。 Our aim is to expose the mechanism, discovered in the analogous Abelian gauged $O(3)$ Skyrme model in $2+1$ dimensions, which leads to the unusual relation of the mass-energy $E$ to the electric charge $Q_e$ and angular momentum $J$, and, to the change in the value of the "baryon number" $q$ due to the influence of the Abelian field on the Skyrmion. Chern-Simons动力学以及测量的Skyrme标量的动力学允许具有变化渐近值的磁场值的溶液，从而导致列出的这些不寻常的属性。数值工作是在有效的一维子系统上进行的，这是由于在$ {\ mathbb r}^4 $上强加了增强的径向对称性。
We study an Abelian gauged $O(5)$ Skyrme model in $4+1$ dimensions, featuring the $F^4$ Maxwell and the Chern-Simons terms. Our aim is to expose the mechanism, discovered in the analogous Abelian gauged $O(3)$ Skyrme model in $2+1$ dimensions, which leads to the unusual relation of the mass-energy $E$ to the electric charge $Q_e$ and angular momentum $J$, and, to the change in the value of the "baryon number" $q$ due to the influence of the Abelian field on the Skyrmion. Chern-Simons dynamics together with the dynamics of the gauged Skyrme scalar, allows for solutions with varying asymptotic values of the magnetic field, resulting in these unusual properties listed. Numerical work is carried out on an effective one dimensional subsystem resulting from imposition of an enhaced radial symmetry on ${\mathbb R}^4$.
