Abstract
Consequences of a symmetry, e.g. relations amongst Green functions, are renormalization scheme independently expressed in terms of a rigid Ward identity. The corresponding local version yields information on the respective current. In the case of spontaneous breakdown one has to define the theory via the BRS invariance and thus to construct rigid and current Ward identity nontrivially in accordance with it. We performed this construction to all orders of perturbation theory in the abelian Higgs model as a prelude to the standard model. A technical tool of interest in itself is the use of a doublet of external scalar “background” fields. The Callan-Symanzik equation has an interesting form and follows easily once the rigid invariance is established.
Similar content being viewed by others
References
B.A. Kniehl: Status of higher-order corrections in the standard electroweak theory, KEK-TH-412, Sept. 1994
R. Barbieri, M. Beccaria, P. Ciafaloni, G. Curci, A. Viceré: Phys. Lett. B288 (1992) 95
G. Degrassi, S. Fanchiotti, P. Gambino: Two-loop next-to-leadingm t corrections to the ρ parameter, CERN-TH.7180/94
K.I. Aoki, Z. Hioki, R. Kawabe, M. Konuma, T. Muta: Suppl. Prog. Theor. Phys. 73 (1982) 1
M. Böhm, W. Hollik, H. Spiesberger, Fortschr: Phys. 34 (1986) 687
F. Jegerlehner: Renormalizing the standard model, in: Proceedings of the 1990 Theoretical Advanced Study Institute in Elementary Particle Physics, Boulder, Colorado, ed. M. Cvetic and P. Langacker, 1991, Singapore
C. Becchi, A. Rouet, R. Stora: Comm. Math. Phys. 42 (1975) 127
G. Shore: Ann. of Phys. 137 (1981) 262
M.B. Einhorn, J. Wudka: Phys. Rev. D39 (1989) 2758
A. Denner, S. Dittmaier, G. Weiglein: Nucl. Phys. B, Proc. Suppl. 37B (1994) 87
E. Kraus: The structure of the invariant charge in massive theories with one coupling, BUTP 93-26, to be published in Ann. of Phys.
E. Kraus: Helv. Phys. Acta 67 (1994) 424
Author information
Authors and Affiliations
Additional information
Supported by DFG
Rights and permissions
About this article
Cite this article
Kraus, E., Sibold, K. Rigid invariance as derived from BRS invariance: the abelian Higgs model. Z. Phys. C - Particles and Fields 68, 331–344 (1995). https://doi.org/10.1007/BF01566680
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01566680