Mathematica and Fortran programs for various analytic QCD couplings

César Ayala; Gorazd Cvetič

doi:10.1088/1742-6596/608/1/012064

Mathematica and Fortran programs for various analytic QCD couplings

César Ayala
, Gorazd Cvetič

Universidad Técnica Federico Santa Maria

Producción científica: Contribución a una revista › Artículo de la conferencia › revisión exhaustiva

9 Citas (Scopus)

Resumen

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) = α_s(Q²)/π, and any such A(Q²) defines an analytic QCD model. We present the general construction procedure for the couplings A_v (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 A_v (Q²) in such models are presented. Programs in both Mathematica and Fortran can be downloaded from the web page: gcvetic.usm.cl.

Idioma original	Inglés
Número de artículo	012064
Publicación	Journal of Physics: Conference Series
Volumen	608
N.º	1
DOI	https://doi.org/10.1088/1742-6596/608/1/012064
Estado	Publicada - 22 may. 2015
Publicado de forma externa	Sí
Evento	16th International Workshop on Advanced Computing and Analysis Techniques in Physics Research: Bridging Disciplines, ACAT 2014 - Prague, República Checa Duración: 1 sep. 2014 → 5 sep. 2014

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abstract = "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.",

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AU - Cvetič, Gorazd

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Y1 - 2015/5/22

N2 - 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.

AB - 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.

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Mathematica and Fortran programs for various analytic QCD couplings

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