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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A new characterization of BRS-invariant theories with a simple non-abelian gauge group
TL;DR: In this paper, it was shown that the non-abelian BRS theories in linear gauge can be characterized within this class of models by the property to be renormalizable and to depend only on one interaction coupling.
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Extension of the \mathfrak{o}\mathfrak{s}\mathfrak{p}(m|n)\sim \mathfrak{s}\mathfrak{o}(m-n) correspondence to the infinite-dimensional chiral spinors and self dual tensors
TL;DR: In this article, the spinor representations of the orthosymplectic Lie superalgebras are considered and constructed, of which the superdimension coincides with the dimension of spinor representation of.
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U_e(1)--covariant R_\xi--gauge for the two Higgs doublet model
C. G. Honorato,J. J. Toscano +1 more
TL;DR: In this article, a covariant BRST-symmetric gauge for the two-Higgs doublet model based on the BRST symmetry is introduced, which allows one to remove an important number of nonphysical vertices appearing in conventional linear gauges, which greatly simplifies the loop calculations.
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Study of the renormalization of BRST invariant local composite operators in the U (1 ) Higgs model
TL;DR: In this article, the renormalization properties of two local composite operators, which are invariant under the infinitesimal Becchi-Rouet-Stora-Tyutin (BRST) transformations, corresponding respectively to the gauge invariant description of the Higgs particle and of the massive gauge vector boson, are scrutinized in the $U(1)$ Higgs model.
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One Loop Anomalies and Wess-Zumino Terms for General Gauge Theories
TL;DR: In this paper, the antifield dependence on the Wess-Zumino term was investigated in terms of the antifeach independent part of the WZ term and finite gauge transformations by introducing gauge degrees of freedom as the extra dynamical variables.