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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BRST invariant higher derivative operators in 4D quantum gravity based on CFT
Ken-ji Hamada,Ken-ji Hamada +1 more
TL;DR: In this paper, Hamada et al. constructed the physical field operator corresponding to any integer power of Ricci scalar curvature in the context of the Becchi-Rouet-Stora-Tyupin quantization.
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Schwinger-Dyson functional in Chern-Simons theory
TL;DR: In this article, it was shown that the renormalized Schwinger-Dyson functional is related with the generating functional of the correlation functions of the gauge connections by some kind of duality transformation.
Journal ArticleDOI
Background field quantization in non-covariant gauges: Renormalization and WTST identities
TL;DR: In this paper, the background field quantization of pure YM theories in non-covariant gauges is treated with particular emphasis on renormalization, and the BRS identities for these gauge choices are derived and solved.
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BRST structure of non-linear superalgebras
TL;DR: In this paper, the structure of the BRST charge of nonlinear superalgebras was analyzed in Faddeev-Popov ghost fields for arbitrary quadratic non-linear super algaes.
Journal ArticleDOI
Higgs Potential from Derivative Interactions
TL;DR: In this paper, a non-power-counting renormalizable extension of the linear π model with derivative interactions is presented, which is physically equivalent to the tree-level inclusion of a dimension six effective operator.
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.