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19942011
most citedReplica symmetry breaking in and around six dimensions

59 citations · 295 across the 14 of their papers we have counts for

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11 papers · 1 filter

cond-mat.dis-nn2011★ 59 cited

Replica symmetry breaking in and around six dimensions

Giorgio Parisi, Tamas Temesvari

Two, replica symmetry breaking specific, quantities of the Ising spin glass --- the breakpoint x1 of the order parameter function and the Almeida-Thouless line --- are calculated i…

cond-mat.dis-nn2009★ 7 cited

The Ising spin glass in finite dimensions: a perturbative study of the free energy

Tamas Temesvari

Replica field theory is used to study the n-dependent free energy of the Ising spin glass in a first order perturbative treatment. Large sample-to-sample deviations of the free ene…

cond-mat.dis-nn2006★ 11 cited

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…

cond-mat.dis-nn2005★ 5 cited

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…

cond-mat.dis-nn2003★ 16 cited

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…

cond-mat.dis-nn2002★ 18 cited

Replica field theory and renormalization group for the Ising spin glass in an external magnetic field

T. Temesvari, C. De Dominicis

We use the generic replica symmetric cubic field-theory to study the transition of short range Ising spin glasses in a magnetic field around the upper critical dimension, d=6. A no…

cond-mat.dis-nn2002★ 50 cited

Spin glass transition in a magnetic field: a renormalization group study

I. R. Pimentel, T. Temesvari, C. De Dominicis

We study the transition of short range Ising spin glasses in a magnetic field, within a general replica symmetric field theory, which contains three masses and eight cubic coupling…

cond-mat.dis-nn2002★ 44 cited

Generic replica symmetric field-theory for short range Ising spin glasses

T. Temesvari, C. De Dominicis, I. R. Pimentel

Symmetry considerations and a direct, Hubbard-Stratonovich type, derivation are used to construct a replica field-theory relevant to the study of the spin glass transition of short…

cond-mat.dis-nn2000★ 5 cited

Reparametrization invariance: a gauge-like symmetry of ultrametrically organised states

T. Temesvari, I. Kondor, C. De Dominicis

The reparametrization transformation between ultrametrically organised states of replicated disordered systems is explicitly defined. The invariance of the longitudinal free energy…

cond-mat.dis-nn1998★ 13 cited

Scaling and infrared divergences in the replica field theory of the Ising spin glass

T. Temesvari, C. De Dominicis, I. Kondor

Replica field theory for the Ising spin glass in zero magnetic field is studied around the upper critical dimension d=6. A scaling theory of the spin glass phase, based on Parisi's…

cond-mat.dis-nn1998

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…