Fourier transform for replicated systems

Domenico M Carlucci

Physica A: Statistical Mechanics and its Applications, 1998, vol. 254, issue 1, 185-189

Abstract: Replica trick turns out to be a powerful method to deal with disordered systems. Nevertheless, if several replicas are involved, calculations become technically difficult in the presence of a spontaneous symmetry breaking. Given a Parisi Replica Symmetry Breaking (RSB) scheme, the Fourier Transform on the replica group (RFT) has the same properties of the usual Fourier transform and in particular the convolution products in the replica space are immediately “diagonalized” in the Fourier space.

Keywords: Fourier transform; Replica method (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:254:y:1998:i:1:p:185-189

DOI: 10.1016/S0378-4371(98)00004-1

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