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).
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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.
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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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Gauge-invariant Green’s functions for the bosonic sector of the standard model
Andreas Nyffeler,Andreas Schenk +1 more
TL;DR: In this paper, the authors proposed a generating functional of appropriately chosen gauge-invariant Green's functions for the bosonic sector of the standard model up to the one-loop level and carried out its renormalization in the on-shell scheme.
Journal ArticleDOI
A generalized Slavnov-invariant Abelian Higgs-Kibble model
O. Piguet,Manfred Schweda +1 more
TL;DR: In this paper, the supersymmetric structure of the Becchi-Rouet-Stora invariance is used for investigating the Abelian Higgs-Kibble model, which allows for a symmetric photon mass M, in which case a massless scalar state corresponding to the Goldstone model belongs to the physical sector.
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Quantum theory of Yang—Mills fields
M. Böhm,Ansgar Denner,Hans Joos +2 more
TL;DR: In this paper, the structure and properties of relativistic quantum field theories in general and Yang-Mills theories in particular are investigated in a phenomenological discussion of Chapt. 1 suggests that the theory of the strong, the electromagnetic, and the weak interactions takes the form of a quantized YMM theory.
Book ChapterDOI
Breaking gauge symmetries. Higgs mechanism
TL;DR: In this article, the authors consider the possible characterization of breaking a gauge symmetry, in terms of physical properties, and show that breaking a symmetry reduces to the identity on the observables and a natural question is what, if any, may be its meaning on physical grounds.
Journal ArticleDOI
U(1) gauged model of FJ-type chiral boson based on Batalin–Fradkin–Vilkovisky formalism
TL;DR: This article has been retracted due to overlapping of its result with an earlier published article [Annals of Physics, Vol. 383 (2017) 497-510] as discussed by the authors.