Exact meron black holes in four dimensional SU(2) Einstein–Yang–Mills theory
Exact meron black holes in four dimensional SU(2) Einstein–Yang–Mills theory
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DOI：
10.1016/j.physletb.2013.04.029
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发表时间：
2012-08
影响因子：
4.4
通讯作者：
F. Canfora;F. Correa;A. Giacomini;J. Oliva
中科院分区：
文献类型：
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作者：
F. Canfora;F. Correa;A. Giacomini;J. Oliva
在这封信中，构建了四维 SU(2) 爱因斯坦-杨-米尔斯理论的本质上非阿贝尔黑洞解。该解的规范场具有 meron 的形式，而度量是 Reissner-Nordström 黑洞的规范场，但其中 1/r2 项的系数不是积分常数。即使杨-米尔斯场的应力-能量张量是球对称的，杨-米尔斯场本身的场强也不是球对称的。这一事实的一个显着结果是 Jackiw-Rebbi-Hasenfratz-'t Hooft 机制，它允许将当前的解决方案与本质上的阿贝尔配置区分开来，根据该机制，在具有这种特性的规范场背景中移动的玻色子场的激励表现为费米子自由度。
In this Letter an intrinsically non-Abelian black hole solution for the SU(2) Einstein–Yang–Mills theory in four dimensions is constructed. The gauge field of this solution has the form of a meron whereas the metric is the one of a Reissner–Nordström black hole in which, however, the coefficient of the 1/r2term is not an integration constant. Even if the stress-energy tensor of the Yang–Mills field is spherically symmetric, the field strength of the Yang–Mills field itself is not. A remarkable consequence of this fact, which allows to distinguish the present solution from essentially Abelian configurations, is the Jackiw–Rebbi–Hasenfratz–ʼt Hooft mechanism according to which excitations of Bosonic fields moving in the background of a gauge field with this characteristic behave as Fermionic degrees of freedom.