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
Citations
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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.
Journal ArticleDOI
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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Ultraviolet Complete Quantum Gravity
John W. Moffat,John W. Moffat +1 more
TL;DR: In this article, the cosmological constant problem is investigated in the context of the ultraviolet complete quantum gravity theory, in which vertex functions in Feynman graphs are entire functions and the propagating graviton is described by a local, causal propagator.
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Supersymmetry of the d=3 Chern-Simons action in the landau gauge
TL;DR: Combining anti-BRS invariance with previously found symmetries of the gauge-fixed Chern-Simons action in three dimensions, the authors obtained a set of transformations that satisfies an unusual kind of supersymmetry algebra.
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BRS symmetry for Yang-Mills theory with exact renormalization group
TL;DR: In this paper, it was shown that the full set of Slavnov-Taylor (ST) identities are satisfied in the exact renormalization-group (RG) flow in the infrared cutoff Λ.
Journal ArticleDOI
The correct renormalization of the gluon operator in a covariant gauge
Roelof Hamberg,W.L. van Neerven +1 more
TL;DR: In this paper, the second-order anomalous dimension of the gluon operator was shown to agree with the one obtained in the literature by choosing the axial gauge, which is due to an incorrect treatment of mixing between gauge invariant (GI) and gauge variant (GV) operators.