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Manuscript Title: QCDMAPT F: Fortran version of QCDMAPT package | ||

Authors: A.V. Nesterenko, C. Simolo | ||

Program title: QCDMAPT F | ||

Catalogue identifier: AEGP_v2_0Distribution format: tar.gz | ||

Journal reference: Comput. Phys. Commun. 182(2011)2303 | ||

Programming language: Fortran 77 and higher. | ||

Computer: Any which supports Fortran 77. | ||

Operating system: Any which supports Fortran 77. | ||

Keywords: Nonperturbative QCD, Dispersion relations. | ||

Classification: 11.1, 11.5, 11.6. | ||

External routines: MATHLIB routine RADAPT (D102) from CERNLIB Program Library [1]. | ||

Does the new version supersede the previous version?: No. This version provides an alternative to the previous, Maple, version. | ||

Nature of problem:A central object of the dispersive (or "analytic") approach to Quantum Chromodynamics [2, 3] is the so-called spectral function, which can be calculated by making use of the strong running coupling. At the one-loop level the latter has a quite simple form and the relevant spectral function can easily be calculated. However, at the higher loop levels the strong running coupling has a rather cumbersome structure. Here, the explicit calculation of corresponding spectral functions represents a somewhat complicated task (see Sect. 3 and App. B of Ref. [4]), whereas their numerical evaluation requires a lot of computational resources and essentially slows down the overall computation process. | ||

Solution method:The developed package includes the calculated explicit expressions for relevant spectral functions up to the four-loop level and the subroutines for necessary integrals. | ||

Reasons for new version:The previous version of the package (Ref. [4]) was developed for use with Maple system. The new version is developed for Fortran programming language. | ||

Summary of revisions:The QCDMAPT_F package consists of the main program (QCDMAPT_F.f) and two samples of the file containing the values of input parameters (QCDMAPT_F.i1 and QCDMAPT_F.i2). The main program includes the definitions of relevant spectral functions and subroutines for necessary integrals. The main program also provides an example of computation of the values of (M)APT spacelike/timelike expansion functions for the specified set of input parameters and (as an option) generates the output data files with values of these functions over the given kinematic intervals. | ||

Additional comments:For the proper functioning of QCDMAPT_F package, the "MATHLIB" CERNLIB library [1] has to be installed. | ||

Running time:The running time of the main program with sample set of input parameters specified in the file QCDMAPT_F.i2 is about a minute (depends on CPU). | ||

References: | ||

[1] | Subroutine D102 of the "MATHLIB" CERNLIB library, URL addresses: http://cernlib.web.cern.ch/cernlib/mathlib.html http://wwwasdoc.web.cern.ch/wwwasdoc/shortwrupsdir/d102/top.html | |

[2] | D.V. Shirkov and I.L. Solovtsov, Phys. Rev. Lett. 79 (1997) 1209; K.A. Milton and I.L. Solovtsov, Phys. Rev. D 55 (1997) 5295; K.A. Milton and I.L. Solovtsov, Phys. Rev. D 59 (1999) 107701; I.L. Solovtsov and D.V. Shirkov, Theor. Math. Phys. 120 (1999) 1220; D.V. Shirkov and I.L. Solovtsov, Theor. Math. Phys. 150 (2007) 132. | |

[3] | A.V. Nesterenko, Phys. Rev. D 62 (2000) 094028; A.V. Nesterenko, Phys. Rev. D 64 (2001) 116009; A.V. Nesterenko, Int. J. Mod. Phys. A 18 (2003) 5475; A.V. Nesterenko and J. Papavassiliou, J. Phys. G 32 (2006) 1025; A.V. Nesterenko, Nucl. Phys. B (Proc. Suppl.) 186 (2009) 207. | |

[4] | A.V. Nesterenko and C. Simolo, Comput. Phys. Commun. 181 (2010) 1769. |

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