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Manuscript Title: Automatic calculation of Feynman loop-diagram I - generation of simplified form of amplitude.
Authors: J.-X. Wang
Program title: FDC1
Catalogue identifier: ACNY_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 77(1993)263
Programming language: Reduce.
Computer: FACOM-M780.
Operating system: OSIV/F4 MSP, UNIX.
Keywords: General purpose, Diagramatic expansions, Loop amplitude, Feynman diagram, Automatic calculation.
Classification: 4.4.

Nature of problem:
In perturbative field theory, calculation of Feynman loop-process become more and more complicated and tedious as higher order correction is taken into account. Therefore, to develop programs to perform the work automatically become very useful. To construct a practicable program, there are many obstacles, such as how to express total amplitude to obtain the amplitude square, Feynman parameter integration, etc.

Solution method:
To calculate Feynman loop-process automatically, a package written in REDUCE and RLISP has been developed. This is the first part, in which, a simplified total amplitude and amplitude square are generated by introducing most of the tricks which are used in the calculation by hand.