Programs in Physics & Physical Chemistry
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|Manuscript Title: MINCER: multiloop calculations in quantum field theory for system SCHOONSCHIP.|
|Authors: S.G. Gorishny, S.A. Larin, L.R. Surguladze, F.V. Tkachov|
|Program title: MINCER|
|Catalogue identifier: ABJQ_v1_0|
Distribution format: gz
|Journal reference: Comput. Phys. Commun. 55(1989)381|
|Programming language: SCHOONSCHIP.|
|Operating system: OS ES (VS2 COMPATIBLE).|
|RAM: 400K words|
|Word size: 32|
|Keywords: General purpose, Diagramatic expansions, Quantum field theory, High energy physics Calculations, Perturbation theory, Dimensional Regularization, Multiloop feynman Integral, Computer algebra.|
|Classification: 4.4, 5.|
Nature of problem:
Dimensionally regularised multiloop massless Feynman integrals of a propagator type (so called p-integrals) usually appearing in the tasks of the quantum field theory, and in particular, in high energy physics calculations are computed analytically here.
The algorithm, based on the identities, which connect different p-integrals and are true within the dimensional regularization, is used.
Only scalar p-integrals, i.e. the p-integrals, having no free tensor indices, are admitted. The algorithm used allows to calculate only one- loop, two-loop and three-loop integrals. For the integrals the Laurent expansion in terms of Epsilon is calculated up to and including terms of the order O(Epsilon**3-l), where Epsilon is the deviation of the space- time dimension D from the physical dimension four within the dimensional regularization (D=4-2Epsilon) and 1 is the number of loops. It is sufficient, in particular, to perform four-loop renormalization group calculations.
It strongly depends on the topology and complexity of the calculated diagram (see the "Illustrative example").
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