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On the effects of the Chern-Simons term in an Abelian gauged Skyrme model in d = 4 + 1 dimensions
Physics Letters B ( IF 4.3 ) Pub Date : 2021-03-01 , DOI: 10.1016/j.physletb.2021.136083
Francisco Navarro-Lérida , Eugen Radu , D.H. Tchrakian

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 ${\mathbb R}^4$.

中文翻译:

在 d = 4 + 1 维的阿贝尔规范 Skyrme 模型中陈-西蒙斯项的影响

我们研究了 $4+1$ 维度的 Abelian 测量 $O(5)$ Skyrme 模型,具有 $F^4$ Maxwell 和 Chern-Simons 项。我们的目标是揭示在 $2+1$ 维度的类似阿贝尔测量 $O(3)$ Skyrme 模型中发现的机制,这导致质能 $E$ 与电荷 $Q_e$ 的不寻常关系和角动量 $J$,以及由于阿贝尔场对 Skyrmion 的影响而导致的“重子数”$q$ 值的变化。Chern-Simons 动力学与测量的 Skyrme 标量的动力学一起,允许解决具有不同磁场渐近值的解决方案,从而导致列出这些不寻常的属性。数值工作是在一个有效的一维子系统上进行的,该子系统是在 ${\mathbb R}^4$ 上强加增强的径向对称性而产生的。
更新日期:2021-03-01
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