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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The boson peak in supercooled metallic liquids and glasses and relation to the glass transition
TL;DR: In this article, a theory of three-dimensional supercooled metallic liquids and glasses was presented based on the gauge-invariant Lagrangian density with spontaneous breaking (Higgs mechanism), and compared it with the frustration-limited domain (FLD) theory.
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BRS invariance of supergravity in a gauge involving an extra ghost
TL;DR: In this paper, a BRS invariant effective lagrangian is constructed for supergravity quantized in a gauge where an extra spin 1 2 ghost supplementing the ordinary Faddeev-Popov ghosts is necessary.
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On the Initial State and Consistency Relations
Lasha Berezhiani,Justin Khoury +1 more
TL;DR: In this article, the effect of the initial state on the consistency conditions for adiabatic perturbations was studied. And the authors showed that the initial wave functional/density matrix has to satisfy a Slavnov-Taylor identity similar to that of the action, in order to be consistent with the constraints of General Relativity.
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Quenched computation of the dependence of complexity on the free energy in the Sherrington-Kirkpatrick model
TL;DR: The quenched computation of the complexity in the Sherrington-Kirkpatrick model is presented and a modified full replica symmetry breaking ansatz is introduced in order to study the complexity dependence on the free energy.
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Marginal States in Mean Field Glasses
TL;DR: In this article, the authors study mean-field systems whose free-energy landscape is dominated by marginally stable states and develop various techniques to describe such states, elucidating their physical meaning and the interrelation between them.