Abstract
This is the third paper of a series, and contains a proof of the bounds on the effective actions needed in the two previous papers. The proof is based on perturbative analysis of renormalization.
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Bałaban, T.: (Higgs)2, 3 quantum field in a finite volume. I. A lower bound. Commun. Math. Phys.85, 603–626 (1982) and references therein
Bałaban, T.: (Higgs)2, 3 quantum field in a finite volume. II. An upper bound. Commun. Math. Phys.86, 555–594 (1982)
For more detailed exposition, see Harvard preprints Ultraviolet stability for a model of interacting scalar and vector fields. I. A lower bound. HUTMP 82/B116 and Ultraviolet stability for a model of interacting scalar and vector fields. II. An upper bound. HUTMP 82/B117
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Communicated by A. Jaffe
Supported in part by the National Science Foundation under Grant No. PHY 79-16812
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Bałaban, T. (Higgs)2, 3 quantum fields in a finite volume. Commun.Math. Phys. 88, 411–445 (1983). https://doi.org/10.1007/BF01213217
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DOI: https://doi.org/10.1007/BF01213217