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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General massive gauge theory
TL;DR: In this paper, the interactions of r massive and s massless gauge fields together with (r + s) fermionic ghost and antighost fields are considered and the SU(2) ×U(1) electroweak theory comes out as the unique solution.
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Ghost-creating gauges in Yang-Mills theory
TL;DR: In this paper, the authors study the ghost-antighost symmetry of the extended BRS equations, discuss the geometrical interpretation of the formalism and define a new class of gauges in which the ghost number is only conserved modulo two.
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Unconstrained BRST superfield theories
E. Dur,S. James Gates +1 more
TL;DR: In this article, the use of a superspace to geometrically formulate BRST and anti-BRST symmetries in ordinary and supersymmetric field theories was examined.
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Two-loop pinch technique in the electroweak sector
TL;DR: In this paper, a generalization of the two-loop Pinch Technique to the Electroweak Sector of the Standard Model is presented, and the authors restrict themselves to the case of conserved external currents, and provide a detailed analysis of both the charged and neutral sectors.
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Duality theorems in BRST cohomology
Marc Henneaux,Marc Henneaux +1 more
TL;DR: In this article, it was shown that a duality theorem for the BRST operator cohomology can be established in quantum mechanics and when the hermicity properties of the quantum BRST formalism are in general just formal, this duality theory also holds for the state cohomologies, as a consequence of the non degenerate pairing between subspaces at positive and negative ghost numbers defined by BRST scalar product.
References
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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.
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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.