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Article
Report number CERN-TH-1839
Title Supergauge invariance and the Gell-Mann-Low eigenvalue
Author(s) Ferrara, Sergio ; Iliopoulos, John ; Zumino, B ; Iliopoulos, J
Affiliation (Paris Univ.) ; (CERN)
Publication 1974
Imprint 22 Mar 1974
Number of pages 9
In: Nucl. Phys. B 77 (1974) 413-19
DOI 10.1016/0550-3213(74)90372-1
Subject category Particle Physics - Theory
Abstract The connections among supergauge, scale and conformal invariance are elucidated on the example of a renormalizable field theory model. For the massless model at the Gell-Mann-Low eigenvalue, a non-perturbative argument leads to the contradictory result that it can only describe a free field theory. A study of the Callan-Symanzik equations for the massive model clarifies the situation from the point of view of perturbation theory. It is argued that the eigenvalue equation has no non-trivial solution and that the effective coupling constant increases without bound with energy. (7 refs).

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