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Correlation asymptotics for non‐translation invariant lattice spin systems
Author(s) -
Matte Oliver
Publication year - 2008
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200610638
Subject(s) - semiclassical physics , mathematics , invariant (physics) , spins , mathematical physics , lattice (music) , translation (biology) , pure mathematics , correlation , quantum mechanics , physics , condensed matter physics , quantum , geometry , biochemistry , chemistry , messenger rna , acoustics , gene
Abstract We obtain asymptotic expressions for the Green kernels of certain non‐translation invariant transition matrices using methods of semiclassical and microlocal analysis. Combined with a result by Bach and Møller this yields asymptotic formulas for the truncated two‐point correlation functions of certain non‐translation invariant lattice models of real‐valued spins. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)