论文标题

朝着格里博夫地平线内的背景场独立性

Towards background field independence within the Gribov horizon

论文作者

Justo, Igor F., Pereira, Antonio D., Sobreiro, Rodrigo F.

论文摘要

我们引入了类似于Landau-Dewitt仪表的背景规,但由于存在量规参数以量化Euclidean Yang-Mills理论的尺寸变形。在背景字段消失的极限中,恢复了标准线性协变量仪表。该规格允许对无穷小的Gribov副本及其对物理相关因子的背景和量规参数依赖性的影响进行明确研究。与线性协变量仪类似,引入规格不变的着装场对于恢复BRST对称性至关重要。因此,我们在线性协变量背景仪表仪中构建了BRST对称作用,该分量比喻与最近引入的BRST不变(精制)Gribov-Zwanziger动作相比,消除了常规的无限gribov副本。背景依赖性及其与量规参数依赖关系的关系是根据消除Gribov副本驱动的非扰动效应来讨论的。

We introduce a background gauge akin to the Landau-DeWitt gauge but deformed by the presence of a gauge parameter for the quantization of Euclidean Yang-Mills theories. In the limit where the background field vanishes, standard linear covariant gauges are recovered. This gauge allows for an explicit investigation of the effects of infinitesimal Gribov copies and their impact to background and gauge parameter dependence of physical correlators. Similarly to linear covariant gauges, the introduction of gauge-invariant dressed fields is essential to restore BRST symmetry. Hence, we construct a BRST symmetric action in linear covariant background gauges which eliminates regular infinitesimal Gribov copies in analogy to the recently introduced BRST invariant (refined) Gribov-Zwanziger action. The issue of background dependence and its relation to gauge parameter dependence is discussed in the light of non-perturbative effects driven by the elimination of Gribov copies.

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