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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Journal ArticleDOI
Dual BRS identities and renormalisation
TL;DR: In this paper, the dual BRS identity and ghost equation of motion are shown to be equivalent to the Slavnov-Taylor identity, which is equivalent to non-Abelian theories.
Book ChapterDOI
Spontaneous Symmetry Breaking, Nambu-Goldstone Bosons, and the Higgs Mechanism
TL;DR: In this paper, the ground state is the vacuum state, and the symmetry transformations of a Lagrangian for a physical system may be invariant under a given set of symmetry transformations, but how the symmetry is realized in nature depends on the properties of the ground states.
Journal ArticleDOI
БРСТ-инвариантная алгебра связей в терминах коммутаторов и квантовых антискобок@@@BRST-Invariant Algebra of Constraints in Terms of Commutators and Quantum Antibrackets
Journal ArticleDOI
BRS ‘Symmetry’, prehistory and history
TL;DR: In this article, the authors give a brief account of the main analyses and results of the BRS collaboration concerning the renormalized gauge theories, in particular the method of the regularization-independent, algebraic renormalization, the algebraic proof of S-matrix unitarity and that of gauge choice independence of BRS invariance beyond perturbation theory.
Journal ArticleDOI
General theory of renormalization of gauge theories in nonlinear gauges
TL;DR: In this paper, the general theory of renormalization of unbroken gauge theories in nonlinear gauges was discussed and the theory can be renormalized while preserving a modified form of BRS invariance by multiplicative and independent renormalizations on A, c, g, η, ζ, τ.
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.