Abstract
In this paper we introduce an inductive description of the complete effective densities including large field domains, and we show that the renormalization transformations preserve the form of the densities. This completes the renormalization group analysis for superrenormalizable models and yields convergent expansions in this case.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bałaban, T.: Renormalization group approach to lattice gauge field theories. I. Generation of effective actions in a small field approximation and a coupling constant renormalization in four dimensions. Commun. Math. Phys.109, 249–301 (1987) and references therein
Bałaban, T.: Renormalization group approach to lattice gauge field theories. II. Cluster expansions. Commun. Math. Phys.116, 1–22 (1988)
Author information
Authors and Affiliations
Additional information
Communicated by A. Jaffe
Research supported in part by the Air Force under Grant AFOSR-86-0229 and by the National Science Foundation under Grant DMS-86-02207
Rights and permissions
About this article
Cite this article
Bałaban, T. Convergent renormalization expansions for lattice gauge theories. Commun.Math. Phys. 119, 243–285 (1988). https://doi.org/10.1007/BF01217741
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01217741