Yang-Mills集合中Gribov副本的研究

D. Fiorentini, D. R. Junior, L. Oxman, G. M. Simões, R. Sobreiro
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引用次数: 2

摘要

最近,基于一种新的在连续介质中量化理论的方法,提出了Singer定理指向杨-米尔斯系综的存在。在新方法中,测量场被映射到一个辅助场空间中,用于将测量分别固定在不同的以中心涡标记的扇区上。在这项工作中,我们对这一过程进行了更详细的研究。我们给出了由中心涡标记的扇形构型的例子,并讨论了非阿贝尔自由度的存在性。然后,我们讨论了映射注入性的重要性,并证明了这一性质对于无涡扇区的典型构型和单涡扇区的最简单例子是无穷小的。最后,我们证明了这些构型不受Gribov副本的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Study of Gribov copies in a Yang-Mills ensemble
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.
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