Regularity and decay of lattice Green's functions

Tadeusz Bałaban

doi:10.1007/BF01214744

Regularity and decay of lattice Green's functions

Tadeusz Bałaban

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43 Scopus citations

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.

Original language	English (US)
Pages (from-to)	571-597
Number of pages	27
Journal	Communications In Mathematical Physics
Volume	89
Issue number	4
DOIs	https://doi.org/10.1007/BF01214744
State	Published - Dec 1983
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01214744

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title = "Regularity and decay of lattice Green's functions",

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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year = "1983",

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AB - 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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Regularity and decay of lattice Green's functions

Abstract

All Science Journal Classification (ASJC) codes

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