Abstract
We continue our investigation into a constructive approach for ϕ 4d and prove under the hypotheses of our previous work that on a lattice and in the single phase region the theory is uniquely determined by the intermediate renormalization conditions. Then the Gaussian theory and the Ising model are the two extremal cases for all ϕ 4d theories.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Glimm, J., Jaffe, A.: Critical problems in quantum fields, talk presented at the International Colloquium on Mathematical Methods of Quantum Field Theory, Marseille, June 1975, to appear
Glimm, J., Jaffe, A.: Particles and scaling for lattice field and Ising Models, Harvard University preprint, 1976
Hilton, P.J., Wylie, S.: Homology theory. Cambridge: Cambridge: University Press 1965
Schrader, R.: A possible constructive approach to ϕ 44 . Commun. math. Phys.49, 131–153 (1976)
Schrader, R.: A possible constructive approach to ϕ 44 II, Berlin preprint, 1976
Simon, B.: TheP(ϕ)2 Euclidean quantum field theory. Princeton Series in Physics. Princeton: Princeton University Press 1974
Wilson, K. G., Kogut, J.: The Renormalization Group and the ɛ-Expansion. Phys. Rep.12, 75–200 (1975)
Author information
Authors and Affiliations
Additional information
Communicated by A. Jaffe
On leave of absence from the Freie Universität Berlin
Supported in part by the Deutsche Forschungsgemeinschaft and by the National Science Foundation under Grant MPS 75-21212
Rights and permissions
About this article
Cite this article
Schrader, R. A possible constructive approach to ϕ 44 III. Commun.Math. Phys. 50, 97–102 (1976). https://doi.org/10.1007/BF01617989
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01617989