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Abstract
Both symbol manipulation and numerical techniques are used to automate the calculations in a nonrelativistic ϕ 3 theory in two spatial dimensions. This work applies primarily to the n-loop expansion. The system performed an entire 3-loop calculation in a perturbative orderindependent fashion, that is, generated graphs and the corresponding algebraic expressions, located and manipulated divergent subgraphs, did Feynman parameterization and analytic integration of momentum variables, and did the modifications for the vertex case and the numerical integration of the Feynman parameterization integrals. Since the system is implemented in FORTRAN it can be used almost anywhere. It can be used to facilitate both research and instruction in physics.
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