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CANM in numerical investigation of QCD problems

  • I. V. Amirkhanov
  • I. V. Puzynin
  • T. P. Puzynina
  • T. A. Strizh
  • E. V. Zemlyanaya
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1196)

Abstract

The iterative schemes based on the Continuous analogue of the Newton's method (CANM) have been applied to the solving a number of the QCD problems.

A mathematical statement of boundary problems is formulated for the QCD-inspired potential quarkonium model on the basis of Schwinger-Dyson and Bethe-Salpeter equations. The explicit form of these equations depends on a chosen effective potential. In the different cases we have the systems of nonlinear integral, integrodifferential or differential equations. The cases of the oscillator, Yukawa, Gauss, Coulomb and linear potentials are considered.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • I. V. Amirkhanov
    • 1
  • I. V. Puzynin
    • 1
  • T. P. Puzynina
    • 1
  • T. A. Strizh
    • 1
  • E. V. Zemlyanaya
    • 1
  1. 1.Laboratory of Computing Techniques and AutomationJoint Institute for Nuclear ResearchDubnaRussia

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