Two-loop renormalization for nonanticommutativeN= 1/2 supersymmetric WZ model
Author(s) -
Marcus T. Grisaru,
Silvia Penati,
Alberto Romagi
Publication year - 2003
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2003/08/003
Subject(s) - renormalization , physics , renormalization group , supersymmetry , superspace , mathematical physics , background field method , epigraph , divergence (linguistics) , particle physics , mathematics , mathematical analysis , linguistics , philosophy
We study systematically, through two loops, the divergence structure of thesupersymmetric WZ model defined on the N=1/2 nonanticommutative superspace. Byintroducing a spurion field to represent the supersymmetry breaking term F^3 weare able to perform our calculations using conventional supergraph techniques.Divergent terms proportional to F, F^2 and F^3 are produced (the first two areto be expected on general grounds) but no higher-point divergences are found.By adding ab initio F and F^2 terms to the original lagrangian we render themodel renormalizable. We determine the renormalization constants and betafunctions through two loops, thus making it possible to study therenormalization group flow of the nonanticommutation parameter.Comment: 36 pages, 25 figures, Latex fil
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