An Algebraic Criterion for the Ultraviolet Finiteness of Quantum Field Theories

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dc.creatorLemes, V. E. R.
dc.creatorSarandy, M. S.
dc.creatorSorella, S. P.
dc.creatorVentura, O. S.
dc.creatorVilar, L. C. Q.
dc.date2001-03-14
dc.date2001-03-28
dc.date.accessioned2026-07-07T10:53:32Z
dc.date.available2026-07-07T10:53:32Z
dc.descriptionAn algebraic criterion for the vanishing of the beta function for renormalizable quantum field theories is presented. Use is made of the descent equations following from the Wess-Zumino consistency condition. In some cases, these equations relate the fully quantized action to a local gauge invariant polynomial. The vanishing of the anomalous dimension of this polynomial enables us to establish a nonrenormalization theorem for the beta function $β_g$, stating that if the one-loop order contribution vanishes, then $β_g$ will vanish to all orders of perturbation theory. As a by-product, the special case in which $β_g$ is only of one-loop order, without further corrections, is also covered. The examples of the N=2,4 supersymmetric Yang-Mills theories are worked out in detail.
dc.description1+32 pages, LaTeX2e, typos corrected
dc.identifierhttps://arxiv.org/abs/hep-th/0103110
dc.identifierhttp://arxiv.org/abs/hep-th/0103110
dc.identifierJ.Phys.A34:9485-9506,2001
dc.identifierdoi:10.1088/0305-4470/34/44/310
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185513
dc.subjectHigh Energy Physics - Theory
dc.titleAn Algebraic Criterion for the Ultraviolet Finiteness of Quantum Field Theories
dc.typetext

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