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Regularity and decay of lattice Green's functions

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Abstract

In the paper we study a class of lattice, covariant Laplace operators with external gauge fields. We prove that these operators are positive and that their Green's functions decay exponentially. They also have regularity properties similar to continuous space Green's functions. All the bounds are uniform in the lattice spacing.

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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. PHY82-03669

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Bałaban, T. Regularity and decay of lattice Green's functions. Commun.Math. Phys. 89, 571–597 (1983). https://doi.org/10.1007/BF01214744

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  • DOI: https://doi.org/10.1007/BF01214744

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