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
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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Action Principle and Algebraic Approach to Gauge Transformations in Gauge Theories
E. B. Manoukian,Suppiya Siranan +1 more
TL;DR: In this paper, the action principle is used to derive, by an entirely algebraic approach, gauge transformations of the full vacuum-to-vacuum transition amplitude (generating functional) from the Coulomb gauge to arbitrary covariant gauges and in turn to the celebrated Fock-Schwinger (FS) gauge for the Abelian (QED) gauge theory.
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Light cone gauge for (1+1) strings
TL;DR: In this article, the light-cone gauge quantum theory of bosonic strings in 1 + 1 space-time dimensions reveals unexpected structures, such as the existence of a gauge choice that gives a free action at the price of propagating ghosts and a nontrivial BRST charge.
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Off-shell renormalization in Higgs effective field theories
Daniele Binosi,Andrea Quadri +1 more
TL;DR: In this article, an off-shell one-loop renormalization of a Higgs effective field theory possessing a scalar potential with an arbitrary scalar number of scalars is presented, which is achieved by renormalizing the theory once reformulated in terms of two auxiliary fields.
Journal ArticleDOI
Symmetries and dynamics in constrained systems
Xavier Bekaert,Jeong-Hyuck Park +1 more
TL;DR: In this article, the authors provide a systematic analysis of (global and local) symmetries in total Hamiltonian systems and introduce the notion of total Noether charges, which is a generalization of total Hamiltonians.