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arXiv 2009.00875hep-thhep-ph
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Curci-Ferrari模型的鬼-反鬼-胶子顶点：双圈修正

The ghost-antighost-gluon vertex from the Curci-Ferrari model: Two-loop corrections

Nahuel Barrios, Marcela Peláez, Urko Reinosa, Nicolás Wschebor

备注：
31 pages, 12 figures
发表信息：
Phys. Rev. D 102, 114016 (2020)
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摘要：

Curci-Ferrari模型已被证明可以很好地把握朗道规范中的纯杨-米尔斯关联函数，已经达到单圈阶。在最近的一项工作中，这些结果的鲁棒性已被测试通过评估的两个环路修正的胶子和鬼传播子。我们追求这一系统的调查计算的鬼-反鬼-胶子顶点相同的精度在一个特定的运动学配置，使计算更简单。由于模型的参数和场的归一化在以前的工作中已经被固定，因此本计算代表了对该方法的纯预测和严格测试。我们发现，两个循环的结果系统地提高比较蒙特卡罗模拟相比，早期的单循环的结果。在SU（$3$）情形下，这一改进尤为显著，因为在SU（$3$）情形下，预测的鬼-反鬼-胶子顶点与实验数据非常吻合.然而，在SU（$2$）病例中的相同比较并不那么好。这可能是由于在这种情况下，在红外中存在较大的耦合常数，尽管我们注意到在非微扰连续方法中引用了类似的失配。尽管SU（$2$）有这些特征，我们还是有可能找到一组参数，以合理的精度拟合传播子和鬼-反鬼-胶子顶点。

英文摘要：

The Curci-Ferrari model has been shown to provide a good grasp on pure Yang-Mills correlation functions in the Landau gauge, already at one-loop order. In a recent work, the robustness of these results has been tested by evaluating the two-loop corrections to the gluon and ghost propagators. We pursue this systematic investigation by computing the ghost-antighost-gluon vertex to the same accuracy in a particular kinematic configuration that makes the calculations simpler. Because both the parameters of the model and the normalizations of the fields have already been fixed in a previous work, the present calculation represents both a pure prediction and a stringent test of the approach. We find that the two-loop results systematically improve the comparison to Monte-Carlo simulations as compared to earlier one-loop results. The improvement is particularly significative in the SU($3$) case where the predicted ghost-antighost-gluon vertex is in very good agreement with the data. The same comparison in the SU($2$) case is not as good, however. This may be due to the presence of a larger coupling constant in the infrared in that case although we note that a similar mismatch has been quoted in non-perturbative continuum approaches. Despite these features of the SU($2$) case, it is possible to find sets of parameters fitting both the propagators and the ghost-antighost-gluon vertex to a reasonable accuracy.

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