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).
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Foundations of Perturbative QCD
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Topological field theory
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The TeV physics of strongly interacting W's and Z's
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References
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Journal ArticleDOI
Derivation of the Ward--Takahashi Identity in GWS Gauge Theory
TL;DR: In this paper, the infinitesimal gauge transformation laws preserving the gauge invariance of the quantum Lagrangian itself of the quantized Glashow-Weinberg-Salam model are established precisely.
Journal ArticleDOI
Algebra of quantum transformation of standard and extended BRST-symmetry
P. M. Lavrov,P. Yu. Moshin +1 more
TL;DR: Using the Lagrangian statement for quantization of general gauge theories (in the absence of anomalies), the authors introduced quantum transformations for standard and extended BRST-symmetry in the form of symmetry transformations of renormalized effective actions and studied their algebraic properties, as well as the properties of the operators for the corresponding Noetherian charges.
Posted Content
Consistent Interactions of Yang-Mills Theory: A Review
TL;DR: In this article, the interacting theory of the Yang-Mills model in the Lagrangian form is considered and all consistent interactions through deformations of the master equation in the antifield formalism are obtained.
Book ChapterDOI
Path Space Formulation of the BFV Theorem
TL;DR: In this article, the authors describe a non-symmetric BRST-type of flow on the path phase space, and a gauge-fixed, nonlocal symmetric structure arises, Restoring of locality is discussed.
A Non-BRST Approach to Gauge Field Theories ⁄
TL;DR: In this article, the light-cone gauge approach is used to study quantum properties, where the only symmetries present in the theory are the Poincar\'e symmetry and perhaps some global external symmetry, and there are no unphysical degrees of freedom in the fields.