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 Euclidean domain) , which are analytic analogs of the powers of the underlying perturbative QCD (pQCD) coupling , in three analytic QCD models (anQCD): Fractional Analytic Perturbation Theory (FAPT), Two-delta analytic QCD (2anQCD), and Massive Perturbation Theory (MPT). The analytic (holomorphic) running couplings , in contrast to the corresponding pQCD expressions , reflect correctly the analytic properties of the spacelike observables in the complex plane as dictated by the general principles of quantum field theory. They are thus more suited for evaluations of such physical quantities, especially at low momenta .
Keywords
Cite
@article{arxiv.1408.6868,
title = {anQCD: a Mathematica package for calculations in general analytic QCD models},
author = {Cesar Ayala and Gorazd Cvetic},
journal= {arXiv preprint arXiv:1408.6868},
year = {2015}
}
Comments
v3: 35 pp., 7 figs.; improved programs which work in Mathematica 9 and 10; improved presentation of the text (Sec.2 shorter, Sec.4 enlarged); to appear in Computer Physics Communications