arXiv 0810.49622008-10hep-th

BPS磁性单极袋

BPS Magnetic Monopole Bags

Ki-Myeong Lee, Erick J. Weinberg

备注：: 19 pages, 1 figure
发表信息：: Phys.Rev.D79:025013,2009
DOI：: 10.1103/PhysRevD.79.025013

摘要：

我们探讨了由大量BPS磁单极子制成的球形袋的特性。有两个极限。在阿贝尔袋中，希格斯场的$N$零点排列在半径为$R_{\rm cr} \sim N/v$的球体上的准规则晶格中，其中$v$是希格斯真空期望值。该理论中的大质量规范场在很大程度上被限制在这个半径的薄壳中，薄壳将几乎没有磁场和希格斯场的内部与具有长程库仑磁场和希格斯场的外部区域分开。在另一种极限情况下，我们称之为非阿贝尔袋，希格斯场的$N$零点都是原点，但仍然有一个半径为$R_{\rm cr}$的薄壳。在这种情况下，被这个壳层包围的区域可以被看作是一个大的玻色子核，有小的希格斯场，但有非平凡的大质量和无质量的规范场。

英文摘要：

We explore the characteristics of spherical bags made of large numbers of BPS magnetic monopoles. There are two extreme limits. In the Abelian bag, $N$ zeros of the Higgs field are arranged in a quasiregular lattice on a sphere of radius $R_{\rm cr} \sim N/v$, where $v$ is the Higgs vacuum expectation value. The massive gauge fields of the theory are largely confined to a thin shell at this radius that separates an interior with almost vanishing magnetic and Higgs fields from an exterior region with long-range Coulomb magnetic and Higgs fields. In the other limiting case, which we term a non-Abelian bag, the $N$ zeros of the Higgs field are all the origin, but there is again a thin shell of radius $R_{\rm cr}$. In this case the region enclosed by this shell can be viewed as a large monopole core, with small Higgs field but nontrivial massive and massless gauge fields.

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