Symbolic algebra and renormalization of gauge theories

✍ Scribed by M. Rossi; A.P. Flitney

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 603 KB
• Volume: 90
• Category: Article
• ISSN: 0010-4655
• DOI: 10.1016/0010-4655(95)00098-z

✦ Synopsis

Symbolic algebra relevant to the mnormalization of gauge theories can b¢ cfficiently performed by machine using modem packages. We devise a scheme for representing and manipulating the objects involved in perturbative calculations of gauge theories. This scheme is readily implementcd 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 fcrmions in a representation R, in the two-loop approximation, and to simplify some expressions arising in electroweak calculations at the two loop level.

t Cort~spondcncc to A.P F1itney at the a.ddtm,.s gavcn.