Correlation asymptotics for non‐translation invariant lattice spin systems | Zendy

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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

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)

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