ISSN:
1572-9613
Keywords:
One-dimensional Gibbs systems
;
transfer matrix
;
Markov chains
;
renormalization group
;
decimation procedure
;
cluster expansion
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We consider unbounded spin systems and classical continuous particle systems in one dimension. We assume that the interaction is described by a superstable two-body potential with a decay at large distances at least asr −2(lnr)−(2+ε), ε 〉 0. We prove the analyticity of the free energy and of the correlations as functions of the interaction parameters. This is done by using a “renormalization group technique” to transform the original model into another, physically equivalent, model which is in the high-temperature (small-coupling) region.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01009805
Permalink
