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Convergence of U(1)3 lattice gauge theory to its continuum limit

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Abstract

It is shown that in three space-time dimensions the pure U(1) lattice gauge theory with Villain action and fixed coupling constant converges to the free electromagnetic field as the lattice spacing approaches zero. The same holds for the Wilson action on the electric sector.

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Authors and Affiliations

  1. Department of Mathematics, Cornell University, 14853, Ithaca, NY, USA

    Leonard Gross

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  1. Leonard Gross
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Communicated by A. Jaffe

This research was supported in part by N.S.F. Grant MCS 81-02147, in part by the Institute for Mathematics and its Applications at the University of Minnesota and in part by the Institute for Advanced Study in Princeton, NJ, USA

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Gross, L. Convergence of U(1)3 lattice gauge theory to its continuum limit. Commun.Math. Phys. 92, 137–162 (1983). https://doi.org/10.1007/BF01210842

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  • DOI: https://doi.org/10.1007/BF01210842

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