Communications in Mathematical Physics

, Volume 172, Issue 1, pp 143–186 | Cite as

The short distance behavior of (φ4)3

  • D. Brydges
  • J. Dimock
  • T. R. Hurd
Article

Abstract

We consider theφ34 quantum field theory on a torus and study the short distance behavior. We reproduce the standard result that the singularities can be removed by a simple mass renormalization. For the resulting model we give anLp bound on the short distance regularity of the correlation functions. To obtain these results we develop a systematic treatment of the generating functional for correlations using a renormalization group method incorporating background fields.

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Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • D. Brydges
    • 1
  • J. Dimock
    • 2
  • T. R. Hurd
    • 3
  1. 1.Dept. of MathematicsUniversity of VirginiaCharlottesvilleUSA
  2. 2.Dept. of MathematicsSUNY at BuffaloBuffaloUSA
  3. 3.Dept. of Mathematics and StatisticsMcMaster UniversityHamiltonCanada

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