标题： 规范场论中自旋孤子的存在性 显示英文标题

标题： Existence of spinning solitons in gauge field theory

摘要： 我们研究了在具有紧致规范群$\mathcal{G}$的杨-米尔斯-希格斯理论中具有固有角动量的经典孤子解的存在性，这些解存在于 (3+1)-维闵可夫斯基空间中。 我们证明了对于\textit{对称的}规范场，与\textit{刚性的}空间对称性（如角动量）相对应的诺特定理荷可以用\textit{表面}积分来表示。 利用这一结果，我们在$\mathcal{G}=SU(2)$的情形下表明，在单孤子区域中所有已知拓扑孤子（即't Hooft-Polyakov 单极子、Julia-Zee 双极子、sphaleron 以及涡旋）不存在静止且轴对称的旋转激发。 显示英文摘要

摘要： We study the existence of classical soliton solutions with intrinsic angular momentum in Yang-Mills-Higgs theory with a compact gauge group $\mathcal{G}$ in (3+1)-dimensional Minkowski space. We show that for \textit{symmetric} gauge fields the Noether charges corresponding to \textit{rigid} spatial symmetries, as the angular momentum, can be expressed in terms of \textit{surface} integrals. Using this result, we demonstrate in the case of $\mathcal{G}=SU(2)$ the nonexistence of stationary and axially symmetric spinning excitations for all known topological solitons in the one-soliton sector, that is, for 't Hooft--Polyakov monopoles, Julia-Zee dyons, sphalerons, and also vortices.