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
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.
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Topological field theory
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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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TL;DR: In this article, the quantization of the non-abelian Chern-Simons theory in three dimensions is performed in the framework of the BRS formalism, where general covariance is preserved on the physical subspace.
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Infrared safe perturbative approach to Yang-Mills correlators
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Thomas E. Clark,J. H. Lowenstein +1 more
TL;DR: In this article, the generalized Zimmermann identity relating normal products of different subtraction degrees is generalized to include arbitrary masses, ultraviolet regulators, and green functions with arbitrary numbers of normal products, providing the basis for the derivation of normal product field equations in models with zero-mass propagators.
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Unconstrained higher spins of mixed symmetry I. Bose fields
TL;DR: In this paper, the Bianchi identities of the Lagrangians were used to recover the local metric-like unconstrained Lagrangian and field equations for higher spin gauge fields of mixed symmetry in flat space.
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Gauge invariant Lagrangian construction for massive bosonic higher spin fields in D dimensions
TL;DR: In this article, the BRST approach to Lagrangian formulation for massive higher integer spin fields on a flat space-time of arbitrary dimension was developed. But no off-shell constraints on the fields (like tracelessness) and the gauge parameters are imposed.