弯曲空间库仑规范中的Gribov摆
Gribov pendulum in the Coulomb gauge on curved spaces
摘要：
本文分析了静态球对称背景下弯曲时空库仑规范中Gribov摆方程的推广。在渐近AdS情形下，给出了解的存在唯一性的严格证明.强、弱边界条件的分析等价于分析一个有效的一维薛定谔方程。必要条件，以球对称背景承认解决方案的Gribov摆方程代表副本的真空满足强边界条件。结果表明，渐近平坦的背景不支持这种类型的Gribov摆方程的解决方案，而在渐近AdS背景，这样的模糊性可以出现。一些物理后果进行了讨论。
英文摘要：
In this paper the generalization of the Gribov pendulum equation in the Coulomb gauge for curved spacetimes is analyzed on static spherically symmetric backgrounds. A rigorous argument for the existence and uniqueness of solution is provided in the asymptotically AdS case. The analysis of the strong and weak boundary conditions is equivalent to analyzing an effective one-dimensional Schrodinger equation. Necessary conditions in order for spherically symmetric backgrounds to admit solutions of the Gribov pendulum equation representing copies of the vacuum satisfying the strong boundary conditions are given. It is shown that asymptotically flat backgrounds do not support solutions of the Gribov pendulum equation of this type, while on asymptotically AdS backgrounds such ambiguities can appear. Some physical consequences are discussed.
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