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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_0
Distribution 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.