论文标题
研究Yang-Mills合奏中的Gribov副本
Study of Gribov Copies in the Yang-Mills ensemble
论文作者
论文摘要
最近，基于一个新的程序来量化连续性中的理论，据认为，辛格的定理指向Yang-Mills合奏的存在。在新方法中，量规场被映射到用于分别固定量规上的辅助场空间，该仪表在由中心涡流标记的不同扇区上。在这项工作中，我们更详细地研究了此过程。我们提供属于中心涡流标记的扇区的配置示例，并讨论了非亚伯自由度的存在。然后，我们讨论了映射注入性的重要性，并表明该属性对于无涡流扇区的典型配置以及单涡旋扇区中最简单的示例而言无限范围。最后，我们证明这些配置不含Gribov副本。
Recently, based on a new procedure to quantize the theory in the continuum, it was argued that Singer's theorem points towards the existence of a Yang-Mills ensemble. In the new approach, the gauge fields are mapped into an auxiliary field space used to separately fix the gauge on different sectors labeled by center vortices. In this work, we study this procedure in more detail. We provide examples of configurations belonging to sectors labeled by center vortices and discuss the existence of nonabelian degrees of freedom. Then, we discuss the importance of the mapping injectivity, and show that this property holds infinitesimally for typical configurations of the vortex-free sector and for the simplest example in the one-vortex sector. Finally, we show that these configurations are free from Gribov copies.
