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 analysis of physical fields and states for 4D quantum gravity onR×S3
TL;DR: In this paper, the background-free quantum gravity based on conformal gravity with the Riegert-Wess-Zumino action is formulated in terms of a conformal field theory.
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A dual BRS invariance for gravity
Robert Delbourgo,George Thompson +1 more
TL;DR: The dual BRS transformations for vector-meson theories are associated with interchanges of fictitious fields and, apart from minor modification, they are the same as the ordinary transformations as mentioned in this paper.
Link Invariants from Chern-Simons Theory
TL;DR: In this article, some general features of the quantization of the Chern-Simons theory are described, focusing on the computation of the expectation values of Wilson line operators and on the braid group representation realized on the physical state space of the model.
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Geometrical Interpretation of the Functional Measure for Supersymmetric Gauge Theories and of the Gauge Invariant Effective Action
TL;DR: In this paper, a geometrical treatment of the functional intergral measure for supersymmetric gauge theories is given, and a detailed discussion of the local geometry of the superspace of fields is presented, and it is shown how the volume element of the field space is related to the usual Faddeev-Popov prescription for the path integral quantization of gauge theories.
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Deformation quantization of constrained systems: a group averaging approach
TL;DR: A physically prescribed Wigner distribution is proposed which allows the definition of a well-defined inner product by judiciously introducing a star version of the group averaging of the constraints.
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.