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Manuscript Title: FAPT: a Mathematica package for calculations in QCD Fractional Analytic Perturbation Theory | ||

Authors: Alexander P. Bakulev, Vyacheslav L. Khandramai | ||

Program title: FAPT | ||

Catalogue identifier: AENJ_v1_0Distribution format: tar.gz | ||

Journal reference: Comput. Phys. Commun. 184(2013)183 | ||

Programming language: Mathematica. | ||

Computer: Any work-station or PC where Mathematica is running. | ||

Operating system: Windows XP, Mathematica (versions 5 and 7). | ||

Keywords: Analyticity, Fractional Analytic Perturbation Theory, Perturbative QCD, Renormalization group evolution. | ||

PACS: 12.38.Bx, 11.15.Bt, 11.10.Hi. | ||

Classification: 11.5. | ||

Nature of problem:The values of analytic images Abar(_{ν}Q) and ^{2}Abar(_{ν}s) of the QCD running coupling powers α(^{ν}_{s}Q) in Euclidean and Minkowski regions, correspondingly, are determined through the spectral representation in the QCD Analytic Perturbation Theory (APT). In the program FAPT we collect all relevant formulas and various procedures which allow for a convenient evaluation of ^{2}Abar(_{ν}Q) and ^{2}Abar(_{ν}s) using numerical integrations of the relevant spectral densities. | ||

Solution method:FAPT uses Mathematica functions to calculate different spectral densities and then performs numerical integration of these spectral integrals to obtain analytic images of different objects. | ||

Restrictions:It could be that for an unphysical choice of the input parameters the results are out of any meaning. | ||

Running time:For all operations the running time does not exceed a few seconds. Usually numerical integration is not fast, so that we advise the use of arrays of precalculated data and then apply the routine Interpolate (as shown in supplied example of the program usage, namely in the notebook FAPT Interp.nb). |

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