Shcherbina, Maria On the replica symmetric solution for the Sherrington-Kirkpatrick model. (English) Zbl 0899.60096 Helv. Phys. Acta 70, No. 6, 838-853 (1997). Summary: We prove that replica symmetric equations for the free energy and Edvards-Anderson order parameter for the Sherrington-Kirkpatrick model with Gaussian magnetic field hold above some line on the \(T\)-\(h\) plane. This line coincides with AT-line at the point \(h=0\) and behaves similarly as \(T\to 0\). Cited in 2 ReviewsCited in 10 Documents MSC: 60K40 Other physical applications of random processes 82B27 Critical phenomena in equilibrium statistical mechanics Keywords:Sherrington-Kirkpatrick model; Gaussian magnetic field PDFBibTeX XMLCite \textit{M. Shcherbina}, Helv. Phys. Acta 70, No. 6, 838--853 (1997; Zbl 0899.60096)