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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The correct renormalization of the gluon operator in a covariant gauge
Roelof Hamberg,W.L. van Neerven +1 more
TL;DR: In this paper, the second-order anomalous dimension of the gluon operator was shown to agree with the one obtained in the literature by choosing the axial gauge, which is due to an incorrect treatment of mixing between gauge invariant (GI) and gauge variant (GV) operators.
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Results and techniques of multi-loop calculations
TL;DR: In this article, the decoupling of heavy quarks has been studied in the framework of perturbative quantum chromodynamics (QCD) and quantum electrodynamics (QED).
Journal ArticleDOI
Calculation of BRS cohomology with spectral sequences
TL;DR: In this article, a method for finding the general form of the BRS cohomology space for various gauge and supersymmetry theories is presented, adapted for use in the space of integrated local polynomials of the gauge fields and ghosts with arbitrary numbers of fields and dervivatives.
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A brst primer
TL;DR: In this article, a Hamiltonian formulation of the BRST method for quantizing constrained systems is developed and the similarity of this simple quantum system to a gauge theory is explicitly demonstrated.
Journal ArticleDOI
Extended BRST quantization of gauge theories in the generalized canonical formalism
TL;DR: In this article, the authors formulated the rules of canonical quantization of gauge theories on the basis of the extended BRST symmetry principle and proved the existence of solutions of the generating equations of the gauge algebra.
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.