Mathematica and Fortran programs for various analytic QCD couplings

16th International workshop on Advanced Computing and Analysis Techniques in physics research

物理学;计算机科学

Ayala, César^1 ; Cveti, Gorazd^1

Department of Physics, Universidad Técnica Federico Santa María, Casilla 110-V, Valparaíso, Chile^1

关键词: Construction procedures;    FORTRAN programs;    Mathematica;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/608/1/012064/pdf
DOI  :  10.1088/1742-6596/608/1/012064

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

We outline here the motivation for the existence of analytic QCD models, i.e., QCD frameworks in which the running coupling A(Q2) has no Landau singularities. The analytic (holomorphic) coupling A(Q2) is the analog of the underlying pQCD coupling a(Q2) = αs(Q2)/π, and any such A(Q2) defines an analytic QCD model. We present the general construction procedure for the couplings Av(Q2) which are analytic analogs of the powers a(Q2)v. Three analytic QCD models are presented. Applications of our program (in Mathematica) for calculation of Av(Q2) in such models are presented. Programs in both Mathematica and Fortran can be downloaded from the web page: gcvetic.usm.cl.