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
More filters
Journal ArticleDOI
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
More filters
Journal ArticleDOI
The abelian anti-ghost equation for the standard model in the 't hooft background gauge
TL;DR: In this paper, the abelian anti-ghost equation for the Standard Model quantized in the 't Hooft background gauge was studied and it was shown that this equation assures the non-renormalization of the Abelian ghost fields and prevents possible abelians anomalies.
Journal ArticleDOI
Cohomological analysis of gauge-fixed gauge theories
Glenn Barnich,Glenn Barnich,Marc Henneaux,Marc Henneaux,Tobias Hurth,Tobias Hurth,Kostas Skenderis +6 more
TL;DR: In this article, the relation between the gauge invariant local BRST cohomology involving the antifields and the gauge-fixed BRST covariance is clarified, and it is shown that the cocycle conditions become equivalent once it is imposed, on the gauge fixed side, that the BRST cocycles should yield deformations that preserve the nilpotency of the (gauge-fixed) BRST differential.
Journal ArticleDOI
BRS structure of the antisymmetric tensor gauge theories
TL;DR: In this article, the authors analyzed the BRS structure and display the quantum effective lagrangian for two models: the antisymmetric 2-tensor non-abelian field coupled to a Yang-Mills field, and the free tensor of arbitrary rank in arbitrary dimension.
Journal ArticleDOI
On the equivalence theorem in the χPT description of the symmetry breaking sector of the standard model
A. Dobado,José R. Peláez +1 more
TL;DR: In this paper, an alternative formulation of the symmetry breaking sector of the Standard Model as a gauged non-linear sigma model (NLSM) following the philosophy of the Chiral lagrangian approach, which is the only compatible with all the experimental and theoretical constraints.
Journal ArticleDOI
Exact partition functions for gauge theories on Rλ3
TL;DR: In this paper, a 3-parameter family of gauge theory models with stable vacuum and a gauge-invariant harmonic term, stable vacuum, which are perturbatively finite to all orders is discussed.