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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Book ChapterDOI
Local Covariance and Background Independence
TL;DR: The principle of local covariance was originally imposed in order to restrict the renormalization freedom for quantum field theories on generic spacetimes, but it can also be used to implement the request of background independence as mentioned in this paper.
Journal ArticleDOI
The geometry of quantum gauge theories: A superspace formulation of BRST symmetry
TL;DR: The superspace representation of BRST transformations as translations in the direction of an extra anti-commuting coordinate is reviewed in this paper and the quantum Yang-Mills action is shown to possess an infinitely reducible pre-gauge symmetry, which must be gauge fixed.
Journal ArticleDOI
General solutions of the Wess-Zumino consistency condition for the Weyl anomalies
TL;DR: In this article, the cohomology of the corresponding Becchi-Rouet-Stora-Tyutin differential in the space of integrated local functions at ghost number unity is derived.
Journal ArticleDOI
Non-uniqueness of quantized yang-mills theories
TL;DR: In this paper, the authors consider quantized Yang-Mills theories in the framework of causal perturbation theory and prove that the higher orders with these two additional couplings are also gauge invariant.
Journal ArticleDOI
Non-locally regularized antibracket-antifield formalism and anomalies in chiral W3 gravity
TL;DR: In this article, the non-local regularization method was extended to general gauge theories by reformulating it along the ideas of the antibracket-antifield formalism.
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.