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Replica symmetric spin glass field theory
T. Temesvari
A new powerful method to test the stability of the replica symmetric spin glass phase is proposed by introducing a replicon generator function g(v). Exact symmetry arguments are us…
Is the droplet theory for the Ising spin glass inconsistent with replica field theory?
T. Temesvari
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…
On the Parisi-Toulouse hypothesis for the spin glass phase in mean-field theory
A. Crisanti, T. Rizzo, T. Temesvari
We consider the spin-glass phase of the Sherrington-Kirkpatrick model in the presence of a magnetic field. The series expansion of the Parisi function is computed at high or…
On Ward-Takahashi identities for the Parisi spin glass
C. De Dominicis, T. Temesvari, I. Kondor
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…