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

I. A lower bound

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Abstract

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.

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Authors and Affiliations

  1. Department of Physics, Harvard University, 02138, Cambridge, MA, USA

    Tadeusz Bałaban

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  1. Tadeusz Bałaban
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Communicated by A. Jaffe

Supported in part by the National Science Foundation under Grant No. PHY79-16812

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Bałaban, T. (Higgs)2,3 quantum fields in a finite volume. Commun.Math. Phys. 85, 603–626 (1982). https://doi.org/10.1007/BF01403506

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  • DOI: https://doi.org/10.1007/BF01403506

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