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19 April 2024
 
  » arxiv » cond-mat/9802166

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On Ward-Takahashi identities for the Parisi spin glass
C. De Dominicis ; T. Temesvari ; I. Kondor ;
Date 16 Feb 1998
Subject Disordered Systems and Neural Networks | cond-mat.dis-nn
AffiliationSPhT, Saclay), T. Temesvari (Eötvös University, Budapest), I. Kondor (Eötvös University, Budapest
AbstractThe introduction of ``small permutations’’ allows us to derive Ward-Takahashi identities for the spin-glass, in the Parisi limit of an infinite number of steps of replica symmetry breaking. The first identities express the emergence of a band of Goldstone modes. The next identities relate components of (the Replica Fourier Transformed) 3-point function to overlap derivatives of the 2-point function (inverse propagator). A jump in this last function is exhibited, when its two overlaps are crossing each other, in the special simpler case where one of the cross-overlaps is maximal.
Source arXiv, cond-mat/9802166
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