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W-T identities and a candidate “droplet” Lagrangean for the Ising spin glass

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  • C. De Dominicis

Abstract

In search for a microscopic description of “ droplet-like” properties for the Ising spin glass (single component order parameter, zero modes i.e. correlation functions vanishing at infinity) we reconsider the two-packet model of Bray and Moore, which is effectively Replica-Symmetric and enjoys zero modes but only up to one-loop. We show how an appropriate change in the limits of the basic parameters of the model (packet size and replica number) allows for a derivation of Ward–Takahashi (WT) identities, thus ensuring the existence of zero modes to all orders and opening the way for a Lagrangean formulation of a “droplet-like” field theory for the Ising spin glass. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2005

Suggested Citation

  • C. De Dominicis, 2005. "W-T identities and a candidate “droplet” Lagrangean for the Ising spin glass," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 48(3), pages 373-377, December.
    • Handle: RePEc:spr:eurphb:v:48:y:2005:i:3:p:373-377
    DOI: 10.1140/epjb/e2005-00411-1
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