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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Local algebras. A look back at the early years and at some achievements and missed opportunities
Book ChapterDOI
Gauge Field Models
C. Becchi,R. Stora,A. Rouet +2 more
TL;DR: In this article, it was shown that the naive identities, which can be deduced on a very formal ground, expressing in terms of the Green functions the quantum equivalent of the Noether theorem are affected with quantum correction depending on the particular renormalization rules.
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The Mathematical Structure of the Quantum BRST Constraint Method
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Algebraic renormalization of the topological Yang-Mills field theory
TL;DR: The most general local counterterm of Witten's topological Yang-Mills field theory in a Landau type gauge was derived in this article, and the cohomological nature of the model is totally intensitive to quantum effects.
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The incoherently collective excitations in underdoped cuprates
TL;DR: In this article, the collective modes around the hole for k ∼( π, 0) in underdoped cuprates are quantized by using the theoretical formula, which is based on the gauge-invariant effective Lagrangian density.
References
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Journal ArticleDOI
Regularization and Renormalization of Gauge Fields
Gerard 't Hooft,M.J.G. Veltman +1 more
TL;DR: In this article, a new regularization and renormalization procedure for gauge theories is presented, which is particularly well suited for the treatment of gauge theories and is transparent when anomalies such as the Bell-Jackiw-Adler anomaly may occur.
Journal ArticleDOI
Feynman Diagrams for the Yang-Mills Field
L. D. Faddeev,V.N. Popov +1 more
TL;DR: In this paper, a simple method for calculation of the contribution from arbitrary diagrams with closed loops was proposed, based on the method of Feynman functional integration, which is used in this paper.
Journal ArticleDOI
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.