arXiv 1402.42222014-02hep-th

MAP、MAC和Weinberg-Salam模型中的涡环

MAP, MAC, and Vortex-rings Configurations in the Weinberg-Salam Model

Rosy Teh, Ban-Loong Ng, Khai-Ming Wong

备注：: 31 pages, 10 figures, 2 tables

摘要：

本文报道了SU（2）$\times$ U（1）Weinberg-Salam电磁和弱相互作用模型中新的轴对称磁单极、反磁单极和涡旋环解的存在.当$ϕ$ -绕组数为$n=1$和2时，组态为具有沿$z$ -轴排列的交替符号磁荷的磁极的双磁极-反磁极对（MAP）和双磁极-反磁极链（MAC）。当绕组数$n=3$时，MAP和MAC配置开始出现涡环。MAP构型具有零净磁荷，而MAC构型具有$4πn/e$的净磁荷。在MAP组态中，磁偶-反磁偶以${\cal Z}^0$场通量串为界，周围有一个电磁电流环，磁偶和反磁偶分别具有磁荷$\pm\frac{4πn}{e}\sin^2θ_W$.在MAC组态中，不存在连接双极和相邻反极的弦，它们分别具有磁荷$\pm\frac{4πn}{e}$。MAC组态具有无限的总能量和零磁偶极矩，而MAP组态实际上是sphaleron，具有有限的总能量和磁偶极矩。在温伯格角$θ_W=\fracπ{4}$下，研究了Higgs自耦合常数$0\leq λ\leq 40$的变化对组态的影响.

英文摘要：

We report on the presence of new axially symmetric monopoles, antimonopoles and vortex-rings solutions of the SU(2)$\times$U(1) Weinberg-Salam model of electromagnetic and weak interactions. When the $ϕ$-winding number $n=1$, and 2, the configurations are monopole-antimonopole pair (MAP) and monopole-antimonopole chain (MAC) with poles of alternating sign magnetic charge arranged along the $z$-axis. Vortex-rings start to appear from the MAP and MAC configurations when the winding number $n=3$. The MAP configurations possess zero net magnetic charge whereas the MAC configurations possess net magnetic charge of $4πn/e$. In the MAP configurations, the monopole-antimonopole pair is bounded by the ${\cal Z}^0$ field flux string and there is an electromagnetic current loop encircling it. The monopole and antimonopole possess magnetic charges $\pm\frac{4πn}{e}\sin^2θ_W$ respectively. In the MAC configurations there is no string connecting the monopole and the adjacent antimonopole and they possess magnetic charges $\pm\frac{4πn}{e}$ respectively. The MAC configurations possess infinite total energy and zero magnetic dipole moment whereas the MAP configurations which are actually sphalerons possess finite total energy and magnetic dipole moment. The configurations were investigated for varying values of Higgs self-coupling constant $0\leq λ\leq 40$ at Weinberg angle $θ_W=\fracπ{4}$.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

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