Tamas Temesvari
Published 2009-11-02Version 1
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 energy from its quenched average prove to be Gaussian, independently of the special structure of the order parameter. The free energy difference between the replica symmetric and (infinite level) replica symmetry broken phases is studied in details: the line n(T) where it is zero coincides with the Almeida-Thouless line for d>8. The dimensional domain 6<d<8 is more complicated, and several scenarios are possible.
Comments: 23 pages
Journal: Nuclear Physics B 829 [FS] (2010) 534-554
Scaling and infrared divergences in the replica field theory of the Ising spin glass
The Ising spin glass on random graphs at zero temperature: not all spins are glassy in the glassy phase
Griffiths singularity in quasi-one dimensional restricted $\pm J$ Ising spin glass
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