论文信息 - Renormalization group and analyticity in one dimension: A proof of Dobrushin's theorem

Renormalization group and analyticity in one dimension: A proof of Dobrushin's theorem

We consider one dimensional systems described by many body potentials with finite first moment and prove that the correlation functions are analytic in the interaction parameters. This result is not new (Dobrushin, 1973) but our proof is simpler and physically more transparent. We show that by introducing suitable blocks and averaging over the variables associated to a subset of the blocks (decimation procedure), the resulting effective interaction is such that the system can always be dealt with as a high temperature system.

E. Olivieri | M. Cassandro | E. Olivieri | M. Cassandro

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