On Ward-Takahashi identities for the Parisi spin glass

C. De Dominicis, T. Temesvari, I. Kondor

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Abstract

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.

Original languageEnglish
Pages (from-to)Pr6-13-Pr6-25
JournalJournal De Physique. IV : JP
Volume8
Issue number6
Publication statusPublished - Dec 1 1998

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

De Dominicis, C., Temesvari, T., & Kondor, I. (1998). On Ward-Takahashi identities for the Parisi spin glass. Journal De Physique. IV : JP, 8(6), Pr6-13-Pr6-25.