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.
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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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General Formalism For the BRST Symmetry
TL;DR: In this article, the authors discuss Faddeev-Popov method for field theories with a gauge symmetry in an abstract way and develop a general formalism for dealing with the BRST symmetry.
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Vector-scalar mixing to all orders for an arbitrary gauge model in the generic linear gauge
TL;DR: In this paper, the authors give explicit formulae for full propagators of vector and scalar fields in a generic spin-1 gauge model quantized in an arbitrary linear covariant gauge.
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Generalized 2-D BF Model Quantized in the Axial Gauge
TL;DR: In this article, the authors discuss the finiteness of the two-dimensional BF model coupled to topological matter quantized in the axial gauge and prove that this model is finite and anomaly free to all orders of perturbation theory.
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Equivariant symplectic geometry of gauge fixing in Yang–Mills theory
TL;DR: In this article, it was shown that the Faddeev-Popov procedure amounts to a construction of a symplectic manifold with a Hamiltonian group action, which is equivalent to the equivariant cohomology based on this manifold.
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Chiral-Yang-Mills theory, non commutative differential geometry, and the need for a Lie super-algebra
TL;DR: In this article, the Bianchi identity was used to prove that covariant differential is associative if and only if we gauge a Lie-Kac super-algebra and induce a representation of the Connes-Lott non-commutative differential geometry of the 2-point finite space.