论文标题
解除转换过渡的扰动方面 - 超出Faddeev-Popov模型的物理
Perturbative aspects of the deconfinement transition -- Physics beyond the Faddeev-Popov model
论文作者
论文摘要
在非亚伯仪理论的情况下，由于存在量规等效的现场配置，已知Landau仪表中标准的Faddeev-Popov（FP）固定量规程序是不完整的。一种普遍的信念是，对该量规中低能特性的正确分析需要扩展量规程序以外的量规配方。该手稿回顾了curci-Ferrari（CF）模型的各种应用，这是基于晶格上计算的Landau Gauge相关器的分离属性的现象学建议。我们研究了该模型关于在有限温度下强烈相互作用物质的反相互作用的转变的预测，首先是纯Yang-mills理论，然后在重夸克量子染色体动力学的情况下。我们表明，在CF模型中可以考虑大多数定性方面以及解元过渡的许多定量特征，并且只有一个附加参数与晶格模拟相比进行了调整。此外，这些功能以系统的和受控的扰动扩展出现，而不是在红外线中FP模型中定义不明的扰动扩展。有限温度和/或密度的应用要求考虑到所谓的Landau-Dewitt Gauge的Landau仪表的背景扩展。手稿还旨在作为这些技术的彻底但教学的介绍，包括引入背景的理由，韦尔室的作用以及在真正的夸克化学潜力的情况下由于符号问题而出现的并发症。它还研究了CF模型中计算的相关功能的命运，并猜测在SU（2）量规组的情况下，在晶格上评估的相应功能的特定行为。
In the case of non-abelian gauge theories, the standard Faddeev-Popov (FP) gauge-fixing procedure in the Landau gauge is known to be incomplete due to the presence of gauge-equivalent field configurations. A widespread belief is that the proper analysis of the low energy properties in this gauge requires the extension of the gauge-fixing procedure beyond the FP recipe. This manuscript reviews various applications of the Curci-Ferrari (CF) model, a phenomenological proposal for such an extension, based on the decoupling properties of Landau gauge correlators as computed on the lattice. We investigate the predictions of the model concerning the deconfinement transition of strongly interacting matter at finite temperature, first in the case of pure Yang-Mills theory and then in the case of heavy-quark Quantum Chromodynamics. We show that most qualitative aspects and also many quantitative features of the deconfinement transition can be accounted for within the CF model, with only one additional parameter, adjusted from comparison to lattice simulations. Moreover, these features emerge in a systematic and controlled perturbative expansion, as opposed to the ill-defined perturbative expansion within the FP model in the infrared. Applications at finite temperature and/or density require one to consider a background extension of the Landau gauge, the so-called Landau-deWitt gauge. The manuscript is also intended as a thorough but pedagogical introduction to these techniques, including the rationale for introducing a background, the role of the Weyl chambers, and the complications that emerge due to the sign problem in the case of a real quark chemical potential. It also investigates the fate of the correlation functions as computed in the CF model and conjectures a specific behavior for the corresponding functions evaluated on the lattice, in the case of the SU(2) gauge group.
