Open Access
Renormalization of the Abelian Higgs-Kibble Model
C. Becchi,A. Rouet,R. Stora +2 more
- Vol. 22, pp 1-53
TLDR
In this paper, the perturbative renormalization of the abelian Higgs-Kibble model is studied within the class of renormalizable gauges which are odd under charge conjugation.Abstract:
This article is devoted to the perturbative renormalization of the abelian Higgs-Kibble model, within the class of renormalizable gauges which are odd under charge conjugation. The Bogoliubov Parasiuk Hepp-Zimmermann renormalization scheme is used throughout, including the renormalized action principle proved by Lowenstein and Lam. The whole study is based on the fulfillment to all orders of perturbation theory of the Slavnov identities which express the invariance of the Lagrangian under a supergauge type family of non-linear transformations involving the Faddeev-Popov ghosts. Direct combinatorial proofs are given of the gauge independence and unitarity of the physicalS operator. Their simplicity relies both on a systematic use of the Slavnov identities as well as suitable normalization conditions which allow to perform all mass renormalizations, including those pertaining to the ghosts, so that the theory can be given a setting within a fixed Fock space. Some simple gauge independent local operators are constructed.read more
Citations
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Renormalization of gauge theories
C. Becchi,A. Rouet,R. Stora +2 more
TL;DR: Gauge theories are characterized by the Slavnov identities which express their invariance under a family of transformations of the supergauge type which involve the Faddeev Popov ghosts as mentioned in this paper.
Journal ArticleDOI
Back-To-Back Jets in QCD
John Collins,Davison E. Soper +1 more
TL;DR: In this paper, the cross section for the semi-inclusive process e+ + e− → A + B + X is calculated in terms of quark decay functions d A a (z).
Book
Foundations of Perturbative QCD
TL;DR: In this article, a systematic treatment of perturbative QCD is given, giving an accurate account of the concepts, theorems and their justification, giving strong motivations for the methods.
Journal ArticleDOI
Topological field theory
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The TeV physics of strongly interacting W's and Z's
TL;DR: In this article, the authors study the general signatures of a strongly interacting W, Z system and conclude that these two possibilities can be unambiguously distinguished by a hadron collider facility capable of observing the enhanced production of WW, WZ and ZZ pairs that will occur if W's and Z's have strong interactions.
References
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Integration of Kaluza-Klein modes in Yang-Mills theories
H. Novales-Sánchez,J. J. Toscano +1 more
TL;DR: In this article, it was shown that the one-loop contributions of the Kaluza-Klein (KK) excitations to light (standard) Green's functions are renormalizable.
Journal ArticleDOI
Collapse transition of randomly branched polymers: renormalized field theory.
Hans-Karl Janssen,Olaf Stenull +1 more
TL;DR: A minimal dynamical model for randomly branched isotropic polymers is presented, and the model provides a route to understand the well-established dimensional-reduction results from a different angle and a hidden Becchi-Rouet-Stora supersymmetry is uncovered for the collapse θ transition.
Journal ArticleDOI
A gauge model with confinement in four dimensions
Emilio d'Emilio,Mihail Mintchev +1 more
TL;DR: In this paper, it was shown that the correctly written 1/k 4 propagator in four space-time dimensions leads to a consistent pertubative expansion of a superrenormalizable (asymptotically free) abelian gauge model.
Journal ArticleDOI
Local algebras. A look back at the early years and at some achievements and missed opportunities
Book ChapterDOI
Gauge Field Models
C. Becchi,R. Stora,A. Rouet +2 more
TL;DR: In this article, it was shown that the naive identities, which can be deduced on a very formal ground, expressing in terms of the Green functions the quantum equivalent of the Noether theorem are affected with quantum correction depending on the particular renormalization rules.