The 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.
|Journal||Journal De Physique. IV : JP|
|Publication status||Published - Dec 1 1998|
ASJC Scopus subject areas
- Physics and Astronomy(all)