标题： 关于中心涡旋的稳定性及杨-米尔斯理论中量子涨落的回磁比 显示英文标题

标题： On the stability of center vortices and the gyromagnetic ratio of quantum fluctuations in Yang-Mills theory

摘要： 中心环对于理解SU(N)杨-米尔斯理论的约束性质的重要性在格点上已得到确立。 然而，在连续体中，存在关于中心环背景场相关性的问题。 它们表现出所谓的萨维迪-尼尔森-奥利森不稳定性，与非对角胶子的回磁比g^(b)_m=2有关。 在本工作中，我们讨论以另一种方式引入细中心环的波动，即作为局部颜色框架的缺陷。 特别是，我们指出这些波动与缺陷的耦合具有回磁比g^(d)_m=1。 因此，稳定性分析完全改变，因为g_m=1已知是一个临界值，决定了薛定谔算子谱的一般性质。 特别是，细中心环缺陷被证明是稳定的物体。 显示英文摘要

摘要： The importance of center vortices for the understanding of the confining properties of SU(N) Yang-Mills theories is well established in the lattice. However, in the continuum, there is a problem concerning the relevance of center vortex background fields. They display the so called Savvidy-Nielsen-Olesen instability, associated with a gyromagnetic ratio g^(b)_m=2 for the off-diagonal gluons. In this work, we discuss fluctuations around an alternative manner to introduce thin center vortices, namely, as defects of a local color frame. In particular, we point out that the coupling of these fluctuations with defects occurs with gyromagnetic ratio g^(d)_m=1. As a consequence, the analysis of stability is completely modified, as g_m=1 is known to be a critical value that dictates the general properties of the spectrum of Schr\"odinger operators. In particular, thin center vortex defects turn out to be stable objects.