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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How abelian BRS-symmetry emerges in noninvariant surroundings
TL;DR: In this paper, the role of the gauge parameter in the course of reduction of couplings is clarified, and it is shown how the relevant reduction equations, which turn out to be partial differential equations, have to be solved.
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Non-Abelian BFFT embedding, Schrödinger quantization and the field–antifield anomaly of the O(N) nonlinear sigma model
TL;DR: In this article, the O(N) nonlinear sigma model was embedded in a non-Abelian gauge theory and quantized using functional Schrodinger method and non-local field-antifield procedure.
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A BRST formulation for the conic constrained particle
TL;DR: In this paper, the authors describe the gauge invariant BRST formulation of a particle constrained to move in a general conic, which constitutes an explicit example of an originally second-class system.
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BRST deformations and stability in the higher derivative Chern-Simons gauge theory
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Residual gauge freedom and BRST conditions in a hamiltonian formulation of algebraic non-covariant gauges
A. Bassetto,A. Bassetto,I. Lazzizzera,I. Lazzizzera,Giuseppe Nardelli,Giuseppe Nardelli,Roberto Soldati,Roberto Soldati +7 more
TL;DR: A series of delicate points occurring in the quantization of Yang-Mills theories in algebraic non-covariant gauges is discussed in this paper, in particular the relation between subsidiary conditions and the seeming breakdown of the Lorentz covariance, the role of the residual gauge freedom and the relevance of the BRST procedure.
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.
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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.