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
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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.
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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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Field-dependent BRST-anti-BRST Lagrangian transformations
TL;DR: In this article, the authors studied the BRST and BRST-anti-BRST transformations for general gauge theories in Lagrangian formalism and obtained a Ward identity depending on the field-dependent parameters λa and study the problem of gauge dependence, including the case of Yang-Mills theories.
Posted Content
Jet coordinates for local BRST cohomology
TL;DR: In this paper, the construction of appropriate jet space coordinates for calculating local BRST cohomology groups is discussed, and the relation to tensor calculus is briefly reviewed too, where the relation between BRST and tensor algebra is discussed.
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An enlarged phase space for finite-dimensional constrained systems, unifying their Lagrangian, phase- and velocity-space descriptions
TL;DR: In this paper, the theory of singular Lagrangians is developed by using the second Noether theorem and the Dirac-Bergmann algorithm in phase space (T ∗ Q ), where the true gauge transformations are those Noether transformations which satisfy the Jacobi equation and an open gauge algebra every time they are velocity dependent.
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On Group Averaging for SO(n,1)
TL;DR: In this article, the authors investigate the possibility of using a "renormalized" group averaging in certain models, and find a general connection between superselection sectors and the rate of divergence of the group averaging integral.
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Algebraic Properties of BRST Coupled Doublets
TL;DR: In this article, the dependence on doublets of the cohomology of an arbitrary nilpotent differential s (including BRST differentials and classical linearized Slavnov-Taylor (ST) operators) was characterized in terms of the doublets-independent component of s. All cohomologies are computed in the space of local integrated formal power series.