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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Foundations of Perturbative QCD
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Topological field theory
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References
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Journal ArticleDOI
Direct algebraic restoration of Slavnov-Taylor identities in the Abelian Higgs-Kibble model
TL;DR: In this article, a purely algebraic method is devised in order to recover Slavnov-Taylor identities (STI), broken by intermediate renormalization, and the counterterms are evaluated order by order in terms of finite amplitudes computed at zero external momenta.
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S -matrix for the theories that admit closure of the algebra with the aid of auxiliary fields. Auxiliary fields in supergravity
E.S. Fradkin,Mikhail A. Vasiliev +1 more
Journal ArticleDOI
Renormalization of two-dimensional massive Yang-Mills theory and non-renormalizability of its four-dimensional version
TL;DR: The renormalizability of two-dimensional massive Yang-Mills theory was shown in this article, where the theory is shown to be multiplicatively renormalizable with the aid of the Ward-Takahashi identities.
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Gauge field theory for the Poincaré-Weyl group
TL;DR: In this paper, a geometrical interpretation of a dilaton field as a component of the metric tensor of a tangent space in Weyl-Cartan geometry is proposed.
Journal ArticleDOI
Solution to Bethe–Salpeter equation via Mellin–Barnes transform
Pedro Allendes,Bernd A. Kniehl,Igor Kondrashuk,Eduardo A. Notte-Cuello,Marko Antonio Rojas-Medar +4 more
TL;DR: In this paper, the authors considered the Mellin-Barnes transform of the triangle ladder-like scalar diagram in d = 4 dimensions and derived new formulas for the MB two-fold integration in the complex planes of two complex variables.