W-T identities and a candidate "droplet" Lagrangean for the Ising Spin Glass

Details W-T identities and a candidate "droplet" Lagrangean for the Ising Spin Glass W-T identities and a candidate "droplet" Lagrangean for the Ising Spin Glass

2005-09-05

arxiv.org/abs/cond-mat/0509096v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

latex WTDropletSpinGlass-unix.tex, 1 file, 9 pages (v2 for cosmetic corrections suggested by referees) [http://www-spht.cea.fr

Scientific paper

10.1140/epjb/e2005-00411-1

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.

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