Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 191

Free Energy and Correlations of the Number-Theoretical Spin Chain

F. Guerra, A. Knauf

We analyze the number-theoretical spin chain with partition function Z(beta) = zeta(beta-1)/zeta(beta) using the polymer model technique. The finite (grand) canonical chains give bounds for the limit free energy and internal energy. The correlation functions for inverse temperature eta=-1 are products of two-point functions. A combinatorial result for general interval graphs is derived. sofar no abstract and preprint availabl

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