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Supergauge invariance and the Gell-Mann-Low eigenvalue

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....

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Detalles Bibliográficos
Autores principales: Ferrara, Sergio, Iliopoulos, John, Zumino, B, Iliopoulos, J
Lenguaje:eng
Publicado: 1974
Materias:
Acceso en línea:https://dx.doi.org/10.1016/0550-3213(74)90372-1
http://cds.cern.ch/record/873622
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author Ferrara, Sergio
Iliopoulos, John
Zumino, B
Iliopoulos, J
author_facet Ferrara, Sergio
Iliopoulos, John
Zumino, B
Iliopoulos, J
author_sort Ferrara, Sergio
collection CERN
description 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).
id cern-873622
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1974
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spelling cern-8736222019-09-30T06:29:59Zdoi:10.1016/0550-3213(74)90372-1http://cds.cern.ch/record/873622engFerrara, SergioIliopoulos, JohnZumino, BIliopoulos, JSupergauge invariance and the Gell-Mann-Low eigenvalueParticle Physics - TheoryThe 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).CERN-TH-1839oai:cds.cern.ch:8736221974-03-22
spellingShingle Particle Physics - Theory
Ferrara, Sergio
Iliopoulos, John
Zumino, B
Iliopoulos, J
Supergauge invariance and the Gell-Mann-Low eigenvalue
title Supergauge invariance and the Gell-Mann-Low eigenvalue
title_full Supergauge invariance and the Gell-Mann-Low eigenvalue
title_fullStr Supergauge invariance and the Gell-Mann-Low eigenvalue
title_full_unstemmed Supergauge invariance and the Gell-Mann-Low eigenvalue
title_short Supergauge invariance and the Gell-Mann-Low eigenvalue
title_sort supergauge invariance and the gell-mann-low eigenvalue
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/0550-3213(74)90372-1
http://cds.cern.ch/record/873622
work_keys_str_mv AT ferrarasergio supergaugeinvarianceandthegellmannloweigenvalue
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