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用动力学魅力测试格点量子色动力学中$A^2$的OPE Wilson系数

Testing the OPE Wilson coefficient for $A^2$ from lattice QCD with a dynamical charm

B. Blossier, Ph. Boucaud, M. Brinet, F. De Soto, V. Morenas, O. Pène, K. Petrov, J. Rodríguez-Quintero

摘要:

本文用四圈微扰表达式和由定域算符$A^2$控制的非微扰OPE修正的运行公式,描述了在朗道规范中用两种轻夸克味和两种重夸克味($N_f$ =2+1+1)进行格点模拟得到的胶子和鬼传播子数据.威尔逊系数和它们的变化作为耦合常数的函数从数值数据中提取,并与理论表达式进行比较,经过适当的重整化后,已知在${\cal O}(α^4)$。由于$Λ_{\msbar}$对于$N_f$ =2+1+1也是相当公知的,这允许在不同观测量的联合描述中对OPE方法进行精确的一致性测试。

英文摘要:

Gluon and ghost propagators data, obtained in Landau gauge from lattice simulations with two light and two heavy dynamical quark flavours ($N_f$=2+1+1), are described here with a running formula including a four-loop perturbative expression and a nonperturbative OPE correction dominated by the local operator $A^2$. The Wilson coefficients and their variation as a function of the coupling constant are extracted from the numerical data and compared with the theoretical expressions that, after being properly renormalized, are known at ${\cal O}(α^4)$. As also $Λ_{\msbar}$ is rather well known for $N_f$=2+1+1, this allows for a precise consistency test of the OPE approach in the joint description of different observables.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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