2 citations · 2 across the 1 of their papers we have counts for
4 papers
Spin Glass Field Theory with Replica Fourier Transforms
I. R. Pimentel, C. De Dominicis
We develop a field theory for spin glasses using Replica Fourier Transforms (RFT). We present the formalism for the case of replica symmetry and the case of replica symmetry breaki…
Interactions of several replicas in the random field Ising model
E. Brézin, De Dominicis
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…
On the Replica Fourier Transform
D. M. Carlucci, C. De Dominicis
The Replica Fourier Transform introduced previously is related to the standard definition of Fourier transforms over a group. Its use is illustrated by block-diagonalizing the eige…
Replica Fourier Transforms on Ultrametric Trees, and Block-Diagonalizing Multi-Replica Matrices
C. De Dominicis, D. M. Carlucci, T. Temesvari
The analysis of objects living on ultrametric trees, in particular the block-diagonalization of 4-replica matrices , is shown to be dramatically simplified through the…