Symbolic Algebra and Renormalization of Gauge Theories

Details Symbolic Algebra and Renormalization of Gauge Theories Symbolic Algebra and Renormalization of Gauge Theories

1995-08-16

arxiv.org/abs/hep-th/9508074v1

Comput.Phys.Commun.90:189-200,1995

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, LaTex, 2 diagrams drawn with FEYNMAN, uses cite.sty Entire manuscript available as a ps file at http://www.physics

Scientific paper

10.1016/0010-4655(95)00098-Z

Symbolic algebra relevant to the renormalization of gauge theories can be efficiently performed by machine using modern packages. We devise a scheme for representing and manipulating the objects involved in perturbative calculations of gauge theories. This scheme is readily implemented using the general purpose package, Mathematica. The techniques discussed are used to calculate renormalization group functions for a non-abelian $SU(m)$ gauge theory with massless fermions in a representation R, in the two-loop approximation, and to simplify some expressions arising in electroweak calculations at the two loop level.

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