标题： Curci-Ferrari 模型中的脱禁闭转变——重整化尺度和方案依赖性 显示英文标题

标题： Deconfinement transition within the Curci-Ferrari model -- Renormalization scale and scheme dependences

摘要： 我们分析了纯杨-米尔斯理论中的禁闭/去禁闭相变，采用中心对称朗道规范，并附加一个Curci-Ferrari质量项来模拟红外区相关Gribov副本的影响。 除了对该框架下早期的一环计算提供详细信息外，我们还探讨了结果如何依赖于重整化尺度和/或重整化方案。 我们发现，SU($2$) 和 SU($3$) 杨-米尔斯理论的相变温度预测值在这两种方案中相似，并且对广泛的重整化尺度 $\mu$ 值（包括标准范围 $\smash{\mu\in[\pi T,4\pi T]}$）不敏感。 这些值也接近从最小敏感性原理获得的结果以及格点模拟的结果，特别是在 SU($3$) 情况下更为接近。 这些结果进一步证实了Curci-Ferrari模型中微扰计算的良好表现，并支持该模型作为杨-米尔斯理论红外区有效描述的合理性。 我们在 SU($3$) 情况下对spinodal温度进行了类似的分析，并研究了Polyakov环，即与中心对称破缺相关的序参量。 显示英文摘要

摘要： We analyze the confinement/deconfinement transition of pure Yang-Mills theories within the framework of the center-symmetric Landau gauge supplemented by a Curci-Ferrari mass term that models the effect of the associated Gribov copies in the infrared. In addition to providing details for earlier one-loop calculations in that framework, we explore how the results depend on the renormalization scale and/or on the renormalization scheme. We find that the predicted values for the transition temperatures of SU($2$) and SU($3$) Yang-Mills theories are similar in both schemes and are little sensitive to the renormalization scale $\mu$ over a wide range of values including the standard range $\smash{\mu\in[\pi T,4\pi T]}$. These values are also close both to those obtained from a minimal sensitivity principle and to those of lattice simulations, especially in the SU($3$) case. These results further confirm the good behavior of perturbative calculations within the Curci-Ferrari model and support the adequacy of the latter as an effective description of Yang-Mills theories in the infrared. We perform a similar analysis for the spinodal temperatures in the SU($3$) case and for the Polyakov loop, the order parameter associated to the breaking of center symmetry.