Programs in Physics & Physical Chemistry
|[Licence| Download | New Version Template] aatd_v1_0.gz(62 Kbytes)|
|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.|
|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.
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.
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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