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.
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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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The TeV physics of strongly interacting W's and Z's
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References
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The important role of functional integrals in modern physics
TL;DR: The 20th century has witnessed the emergence of the physics of fluctuating systems both statistical and quantum as discussed by the authors, which explains the important role played by functional integrals in modern physics.
Journal Article
On the dynamics of quantum gravity
TL;DR: In this article, the general expression for the divergent part of the 1PI Green's function of quantum gravity by Becchi-Rouet-Stora techniques was obtained in the framework of covariant background quantization.
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Lattice Gauge Theory
TL;DR: In this article, the lattice formulation is used for computer simulations and it is shown that it is very well suited for computer simulation, as its inventor advocated already some five years ago at this school and since three years this approach has extracted useful information out of lattice gauge theory and spurred many interesting questions.
Book ChapterDOI
An Introduction to Gauge Theories
TL;DR: In this paper, a discussion of the reasons why these theories have been the subject of so much interest in the last seven or eight years can be found; however, these justifications are less and less necessary as time goes on; on the other, the reasons are changing.