%0 Journal Article %A Fernández Pérez, Luis Antonio %A González-Adalid Pemartín, Isidoro %A Martín Mayor, Víctor %A Parisi, G. %A Ricci-Tersenghi, F. %A Rizzo, T. %A Ruiz Lorenzo, J. J. %A Veca, M. %T Numerical test of the replica-symmetric Hamiltonian for correlations of the critical state of spin glasses in a field %D 2022 %@ 2470-0045 %U https://hdl.handle.net/20.500.14352/71677 %X A growing body of evidence indicates that the sluggish low-temperature dynamics of glass formers (e.g.,supercooled liquids, colloids, or spin glasses) is due to a growing correlation length. Which is the effective fieldtheory that describes these correlations? The natural field theory was drastically simplified by Bray and Robertsin 1980. More than 40 years later, we confirm the tenets of Bray and Roberts’s theory by studying the Isingspin glass in an externally applied magnetic field, both in four spatial dimensions (data obtained from the Januscollaboration) and on the Bethe lattice. %~