(Higgs)2,3 quantum fields in a finite volume - I. A lower bound

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We consider a Euclidean model of interacting scalar and vector fields in two and three dimensions, and prove a lower bound for vacuum energy in a lattice approximation. The bound is independent of a lattice spacing; it is proved with the help of renormalization transformations in Wilson-Kadanoff form. It extends in principal also to generating functional for Schwinger functions.

Original languageEnglish (US)
Pages (from-to)603-626
Number of pages24
JournalCommunications In Mathematical Physics
Issue number4
StatePublished - Dec 1982
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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