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
Algebraic renormalization of the BF Yang-Mills theory
Francesco Fucito,Maurizio Martellini,Silvio P. Sorella,Alessandro Tanzini,L. C. Q. Vilar,Mauro Zeni +5 more
TL;DR: In this article, the quantum equivalence between the Yang-Mills theory and its first order formulation through a second rank antisymmetric tensor field is discussed, and the introduction of an additional nonphysical vector field allows us to interpret the Yangmills theory as a kind of perturbation of the topological BF model.
Journal ArticleDOI
Dimensional regularization and anomalies in chiral gauge theories
TL;DR: In this paper, the perturbative renormalization of chiral gauge theories in Dimensional Regularization is reviewed with special emphasis to the case of a chiral girders.
Journal ArticleDOI
The BRST quantization of the nonlinear $WB_2$ and $W_4$ algebras
TL;DR: In this paper, the BRST operator for the nonlinear $WB_2$ and $W_4$ algebras was constructed for the canonical transformation of the ghost antighost fields.
Journal ArticleDOI
(Anti)chiral Superfield Approach to Nilpotent Symmetries: Self-Dual Chiral Bosonic Theory
TL;DR: In this article, the authors exploit the strength of the symmetry invariant restrictions on the (anti)chiral superfields to derive the Becchi-Rouet-Stora-Tyutin (BRST), anti-BRST, and (anti-) co-brST symmetry transformations in the case of a two-dimensional (2) self-dual chiral bosonic field theory within the framework of augmented (anti-chiral) superfield formalism.
Journal ArticleDOI
BBS algebra of theSU2/1 electroweak ghost-gauge theory
TL;DR: In this article, an extended BRS algebra of the ghost-antighost symmetric type, including an anti-BRS operator, was constructed, which corresponds to the structural equation of a P2(M, G x G) double bundle.