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
Journal ArticleDOI
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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Journal ArticleDOI
Stability and consistent interactions in higher derivative matter field theories
TL;DR: In this paper, the authors constructions of consistent interactions among the Abelian gauge field and matter fields in the higher derivative systems based on the order reduction technique are presented, and they show that the energy-momentum tensors are all stable before and after the deformation procedures and investigate the problems of stabilities both in free and coupling higher derivative dynamics using a series of additional bounded integrals of motion.
Book ChapterDOI
Gauge theory and renormalization
TL;DR: Early developments leading to renormalizable non-Abelian gauge theories for the weak, electromagnetic and strong interactions, are discussed from a personal viewpoint as mentioned in this paper, which drastically improved our view of the role of field theory, symmetry and topology in the world of elementary particles.
Journal ArticleDOI
Pure massless electrodynamics in Veltman's gauge
TL;DR: In this paper, the authors show how the method developed by C. Becchi, R. Stora and the present author to prove Slavnov's identities in gauge theories works in Abelian cases including a nonlinear gauge without any discrete symmetry.
Journal ArticleDOI
Viscosities of the Zr-based bulk metallic glass-forming liquids
H. Suzuki,Ikuzo Kanazawa +1 more
TL;DR: In this article, the glass transition and the viscosity of supercooled metallic liquids were discussed by using replica symmetry breaking and the gauge-invariant formula, and the authors analyzed the data points of the Zr-based bulk metallic glass-forming liquid with the present model.
Journal ArticleDOI
Electric-Magnetic Duality in Gravity and Higher-Spin Fields
TL;DR: In this paper, dual formulations of gravity and higher spin fields in the linearized theory were studied, and their SO(2) electric-magnetic duality invariance, twisted self-duality conditions, harmonic conditions for wave solutions and their configurations with electric-type and magnetic-type sources were discussed.