Calculation of Feynman diagrams using a symbolic manipulation programme in personal computers

Abstract

A method to calculate Feynman diagrams is developed using a symbolic manipulation package that runs in a personal computer. Commercially available package called "Mathematica" is used. The method to calculate scattering amplitudes in the lowest order in the perturbation theory is demonstrated by explicitly calculating a Feynman diagram in Quantum Chromodyanamics. The procedure described here can be easily extended to calculate any Feynman diagram including next to leading order diagrams and also to the calculation of Feynman diagrams in Quantum electrodyanamics.

doi:10.4038/sljp.v1i0.173

Sri Lankan Journal of Physics, Vol.1 (2000) 89-98