Published 1987 | Version v1
Report Open

Using reduce in supersymmetry

Description

A procedure which allows one to do Supersymmetry calculus in REDUCE is described. Using the concept of an eight-dimensional 'superspace' (spanned by four space-time and four anticommuting coordinates) and of 'superfields' (which represent an entire supermultiplet of particles that transform among themselves), covariant derivatives with respect to supersymmetry are defined. Then, combining the vector facility and LET statement in REDUCE, spinors are simulated in a way to control the algebraic manipulation. (G.D.F.)

Abstract (Portuguese)

Descreve-se um procedimento que permite fazer calculos em Supersimetria com o REDUCE. Atraves do conceito de 'super-espaco' octodimensional (gerado por quatro coordenadas de espaco-tempo e quatro anticomutativas) e de 'supercampos' (que representam um multipleto inteiro de particulas que se transformam entre si), sao definidas derivadas covariantes com respeito a Supersimetria. Combinando entao no REDUCE a facilidade 'vector' e a declaracao 'LET', simulam-se os espinores de forma a controlar a manipulacao algebrica. (G.D.F.)

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Publishing Information

Imprint Pagination
8 p.
Report number
CBPF-NF--047/87