https://doi.org/10.1007/s100510170323
Interactions of several replicas in the random field Ising model
1
Laboratoire de Physique Théorique (UMR 8549 CNRS) , École Normale Supérieure,
24 rue Lhomond, 75231 Paris Cedex 05, France
2
Service de Physique Théorique, CE Saclay, 91191 Gif-sur-Yvette Cedex, France
Corresponding author: a brezin@physique.ens.fr
Received:
28
July
2000
Published online: 15 February 2001
The replicated field theory of the random field Ising model involves the couplings of replicas of different indices. The resulting correlation functions involve a superposition of different types of long distance behaviours. However the n=0 limit allows one to discuss the renormalization group properties in spite of this phenomenon. The attraction of pairs of replicas is enhanced under renormalization flow and no stable fixed point is found. Consequently, an instability occurs in the paramagnetic region, before one reaches the Curie line, signalling the onset of replica symmetry breaking.
PACS: 75.10.Nr – Spin-glass and other random models / 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001
