Renormalization of the abelian Higgs--Kibble model

Journal Article · Thu May 01 04:00:00 EDT 1975 · Commun. Math. Phys., v. 42, no. 2, pp. 127-162

DOI:https://doi.org/10.1007/BF01614158· OSTI ID:4121089

Becchi, C; Rouet, A; Stora, R

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 fulfilment 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 physical S operator. Some simple gauge independent local operators are constructed. (orig./ BJ)

• Research Organization: Centre National de la Recherche Scientifique, 13 - Marseille (France). Centre de Physique Theorique
• NSA Number: NSA-33-011117
• OSTI ID: 4121089
• Journal Information: Commun. Math. Phys., v. 42, no. 2, pp. 127-162, Journal Name: Commun. Math. Phys., v. 42, no. 2, pp. 127-162; ISSN CMPHA
• Country of Publication: Germany
• Language: English

Related Subjects

*LAGRANGIAN FIELD THEORY-- RENORMALIZATION
641300*
GAUGE INVARIANCE
INFRARED DIVERGENCES
N76200* --Physics (Theoretical)--Quantum Field Theories
NONLINEAR PROBLEMS
PERTURBATION THEORY
POWER SERIES
UNITARITY