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Communications in Mathematical Physics

, Volume 88, Issue 3, pp 411–445 | Cite as

(Higgs)2, 3 quantum fields in a finite volume

III. Renormalization
  • Tadeusz Bałaban
Article

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.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Finite Volume 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Bałaban, T.: (Higgs)2, 3 quantum field in a finite volume. I. A lower bound. Commun. Math. Phys.85, 603–626 (1982) and references thereinGoogle Scholar
  2. 2.
    Bałaban, T.: (Higgs)2, 3 quantum field in a finite volume. II. An upper bound. Commun. Math. Phys.86, 555–594 (1982)Google Scholar
  3. 3.
    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/B117Google Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • Tadeusz Bałaban
    • 1
  1. 1.Department of PhysicsHarvard UniversityCambridgeUSA

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