论文标题
杨米尔斯理论中的仪表副本和背景独立的命运：领先的顺序分析
Gauge copies and the fate of background independence in Yang-Mills theories: a leading order analysis
论文作者
论文摘要
在这项工作中，我们调查了Gribov处方的影响，以摆脱Faddeev-Popov操作员的零模型，以扰动理论的一环秩序，在Landau-Dewitt Gauge中。量子波动围绕横向背景量规场进行。一环有效的动作是明确计算的，并仔细研究了仪表和幽灵场传播器的行为。在一环和通用横向背景配置中，由于背景贡献了不变，因此发现有效的动作是\ textit {not}背景不变的。量规场传播器的形式与{}背景是一个微不足道的字段，即带有复杂的共轭电线的$ $相同的形式。 Ghost-Anti-Ghost传播器仍然显示其增强的$ \ sim p^{ - 4} $行为。
In this work we investigate the effects of the Gribov prescription to get rid of zero-modes of the Faddeev-Popov operator, at one-loop order in perturbation theory, in the Landau-DeWitt gauge. Quantum fluctuations are taken around a transverse background gauge field. The one-loop effective action is explicitly computed, and the behavior of the gauge and ghost fields propagators are carefully investigated. At one-loop and for generic transverse background configurations the effective action is found to be \textit{not} background invariant, as expected, due to a non-vanishing background contribution. The gauge field propagator has the same form as in the case {where the} background is a trivial field, $i.e.$ with complex conjugate poles, which are modified by the corresponding gap equation. The ghost-anti-ghost propagator still displays its enhanced $\sim p^{-4}$ behavior.
