Is the droplet theory for the Ising spin glass inconsistent with replica field theory?

Details Is the droplet theory for the Ising spin glass inconsistent with replica field theory? Is the droplet theory for the Ising spin glass inconsistent with replica field theory?

2005-10-08

arxiv.org/abs/cond-mat/0510209v2

J.Phys. A: Math. Gen. 39 (2006) L61-L67

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages. Accepted for publication in J.Phys.A. This is the accepted version with the following minor changes: one extra senten

Scientific paper

10.1088/0305-4470/39/2/L03

Symmetry arguments are used to derive a set of exact identities between irreducible vertex functions for the replica symmetric field theory of the Ising spin glass in zero magnetic field. Their range of applicability spans from mean field to short ranged systems in physical dimensions. The replica symmetric theory is unstable for d>8, just like in mean field theory. For 6

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