Is the droplet theory for the Ising spin glass inconsistent with replica field theory?
arXiv:cond-mat/0510209 · doi:10.1088/0305-4470/39/2/L03
Abstract
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<d<8 and d<6 the resummation of an infinite number of terms is necessary to settle the problem. When d<8, these Ward-like identities must be used to distinguish an Almeida-Thouless line from the replica symmetric droplet phase.
arXiv comment4 pages. Accepted for publication in J.Phys.A. This is the accepted version with the following minor changes: one extra sentence in the abstract; footnote 2 slightly extended; last paragraph somewhat reformulated
References in corpus (4)
- Spin glass transition in a magnetic field: a renormalization group study
- Generic replica symmetric field-theory for short range Ising spin glasses
- A Study of Inclusive Double-Pomeron-Exchange in p pbar -> p X pbar at root s = 630 GeV
- Reparametrization invariance: a gauge-like symmetry of ultrametrically organised states