On the validity of the replica method and its application to Ising chain in random field

III. Random Systems
Part of the Lecture Notes in Physics book series (LNP, volume 206)


Classical spin models in the presence of random interactions or external fields are considered. A general argument shows that the normal (non-Parisi-type) replica-trick is bound to yield the correct free energy provided that this latter is an analytic function of the strength ε of the random variables. As an illustration, the free energy of the one-dimensional Ising model in random external field is calculated up to sixth order in e by direct computation and also by the replica method, and the coincidence of the two results is demonstrated.


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Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  1. 1.Central Research Institute for PhysicsBudapest 114Hungary

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