anQCD: A Mathematica package for calculations in general analytic QCD models

Abstract We provide a Mathematica package that evaluates the QCD analytic couplings (in the complex domain) A_ν (Q_2 ), which are analytic analogs of the powers a(Q^2 )ν of the underlying perturbative QCD (pQCD) coupling a(Q_2 )≡α^s (Q_2 )π, in three analytic QCD models (anQCD): Fractional Analytic Perturbation Theory (FAPT), Two-delta analytic QCD (2δanQCD), and Massive Perturbation Theory (MPT). The analytic (holomorphic) running couplings A_ν (Q_2 ), in contrast to the corresponding pQCD expression... Title of program: anQCD Catalogue Id: AEVK_v1_0 Nature of problem Evaluation of the values for analytic couplings A υ (Q 2 ;N f ) in analytic QCD [the analytic analog of the power (α s (Q 2 ;N f )/π) υ ] based on the dispersion relation; A υ represents a physical (holomorphic) function in the plane of complex squared momenta -q 2 === Q 2 . In anQCD.m we collect the formulas for three different analytic models depending on the energy scale, Q 2 , number of flavors N f , the QCD scale λ N f , and the (nonpower) index υ. The considered models are: Analytic Pertur ... Versions of this program held in the CPC repository in Mendeley Data AEVK_v1_0; anQCD; 10.1016/j.cpc.2014.12.024 AEVK_v1_0; anQCD; 10.1016/j.cpc.2014.12.024 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)

摘要 我们提供一款可在复域内计算量子色动力学（Quantum Chromodynamics, QCD）解析耦合$A_
u(Q^2)$的Mathematica软件包，该耦合是底层微扰量子色动力学（perturbative QCD, pQCD）跑动耦合$a(Q^2)equivalpha_s(Q^2)/pi$的$
u$次幂$a(Q^2)^
u$的解析类比形式。本软件包支持三种解析量子色动力学（analytic QCD, anQCD）模型：分数阶解析微扰论（Fractional Analytic Perturbation Theory, FAPT）、双δ解析量子色动力学（Two-delta analytic QCD, 2δanQCD）以及大质量微扰论（Massive Perturbation Theory, MPT）。与对应的微扰量子色动力学表达式相比，解析（全纯）跑动耦合$A_
u(Q^2)$……
程序名称：anQCD
目录编号：AEVK_v1_0
问题本质：基于色散关系计算解析量子色动力学中的解析耦合$A_
u(Q^2;N_f)$的值——该耦合为微扰量子色动力学中$(alpha_s(Q^2;N_f)/pi)^
u$的解析类比形式，其中$A_
u$是复平方动量平面$-q^2equiv Q^2$上的物理全纯函数。在`anQCD.m`文件中，我们整合了三种不同解析模型的计算公式，这些模型的参数包括能标$Q^2$、夸克味数$N_f$、QCD标度$lambda_{N_f}$以及非幂次指标$
u$。所考虑的模型包括：解析微扰……
Mendeley数据存储库中《计算机物理学报》（Computer Physics Communications, CPC）程序库收录的本程序版本：AEVK_v1_0; anQCD; 10.1016/j.cpc.2014.12.024（该条目重复出现两次）。本程序源自贝尔法斯特女王大学馆藏的CPC程序库（1969-2018）。