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Manuscript Title: Automatic generation of Feynman graphs and amplitudes in QED. | ||

Authors: T. Kaneko, S. Kawabata, Y. Shimizu | ||

Program title: GRAND | ||

Catalogue identifier: AATD_v1_0Distribution format: gz | ||

Journal reference: Comput. Phys. Commun. 43(1987)279 | ||

Programming language: Pascal, Fortran. | ||

Computer: FACOM-M382. | ||

Operating system: OSIV/F4 MSP (FACOM), VOS3 (HITAC), VMS (VAX). | ||

RAM: 160K words | ||

Word size: 32 | ||

Peripherals: disc, graph plotter. | ||

Keywords: General purpose, Diagramatic expansions, Particle physics, Elementary, Quantum electrodynamics, Feynman graph, Generation graph, Symbolic manipulation. | ||

Classification: 4.4, 11.4. | ||

Nature of problem:In the calculation of quantum electro-dynamics (QED), it is necessary to enumerate Feynman graphs for each reaction. The number of graphs increases rapidly as order of perturbation grows. A large amount of calculation based on QED is required in the recent high energy physics. | ||

Solution method:A program package GRAND is developed for solving such a problem. All Feynman graphs corresponding to a given set of external particles and order of perturbation are automatically generated. | ||

Running time:The running time depends especially on the complexity of reactions. If we take the reaction e+e- ->e+e-Gamma with one loop as an example, 72 graphs are generated in 0.41 s on a FACOM M382 computer. |

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