arXiv 2103.162182021-03hep-thhep-lathep-ph

Curci-Ferrari模型中QCD传播子的双环修正

Two-loop corrections to the QCD propagators within the Curci-Ferrari model

Nahuel Barrios, John A. Gracey, Marcela Peláez and, Urko Reinosa

备注：: 39 pages, 13 figures
DOI：: 10.1103/PhysRevD.104.094019

摘要：

我们评估所有的两点关联函数的Curci-Ferrari（CF）模型在四维和质量简并的基本夸克味的存在下，作为一个自然的扩展早期的调查在淬火近似。原则上，手征对称性破缺（$χ$ SB）和CF模型中夸克质量函数的相应动力学生成的正确解释需要我们超越微扰理论\cite{Pelaez:2020ups}。然而，评估微扰描述是否适用于对$χ$ SB不直接敏感的关联函数，例如胶子、鬼和夸克敷料函数，是有趣的。我们比较我们的两个循环的结果，这些形状因子的QCD晶格数据在两个风味的情况下，两个不同的值的π介子质量，一个是相对远离手征极限，一个是更接近的物理值。我们的结果证实了QCD胶子和鬼敷料功能的CF模型内的微扰方法，以及在一个循环的顺序已经观察到的参考\cite{Pelaez:2014mxa}。我们的新的主要结果是，夸克敷料功能也很好地捕获微扰的方法，但只有在两个循环的顺序开始，也预期在参考\cite{Pelaez:2014mxa}。如果夸克不太轻，但在接近物理的情况下，如预期的那样，相对于双圈CF敷料函数，CF模型预测的夸克质量函数与数据吻合得很好。然而，有趣的是，我们发现，有少得多的紧张之间的非微扰夸克质量函数，因为它可以从晶格模拟或从\cite{Pelaez:2020ups}，和两个循环CF敷料功能，这证实了后者的微扰性质。

英文摘要：

We evaluate all two-point correlation functions of the Curci-Ferrari (CF) model in four dimensions and in the presence of mass-degenerate fundamental quark flavors, as a natural extension of an earlier investigation in the quenched approximation. In principle, the proper account of chiral symmetry breaking ($χ$SB) and the corresponding dynamical generation of a quark mass function within the CF model requires one to go beyond perturbation theory \cite{Pelaez:2020ups}. However, it is interesting to assess whether a perturbative description applies to correlation functions that are not directly sensitive to $χ$SB, such as the gluon, ghost and quark dressing functions. We compare our two-loop results for these form factors to QCD lattice data in the two flavor case for two different values of the pion mass, one that is relatively far from the chiral limit, and one that is closer to the physical value. Our results confirm that the QCD gluon and ghost dressing functions are well described by a perturbative approach within the CF model, as already observed at one-loop order in Ref. \cite{Pelaez:2014mxa}. Our new main result is that the quark dressing function is also well captured by the perturbative approach, but only starting at two-loop order, as also anticipated in Ref. \cite{Pelaez:2014mxa}. The quark mass function predicted by the CF model at two-loop order is in good agreement with the data if the quarks are not too light but shows some clear tension with respect to the two-loop CF dressing functions in the close to physical case, as expected. Interestingly, however, we find that there is much less tension between the non-perturbative quark mass function, as it can be obtained from lattice simulations or from \cite{Pelaez:2020ups}, and the two-loop CF dressing functions, which confirms the perturbative nature of the latter.

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