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Abstract : We compute the bare correlation function < Qαβ p Qαβ-p> for the short range spin glass, around Parisi mean field solution, in field near Tc. We evaluate both the correlation function associated with a given overlap x of replicas α, β and the x-average i.e. the Fourier transform of the spin correlation < σi σj >2, p conjugate to |i - j|. In field the dominant infrared behaviour is in p-3 in all cases. In zero field it is in p-4, p- 3, p-3 In p respectively for x ≤ p, p ≤ x and the statistical mechanics average, agreeing in the first instance with the dynamic x = 0 result of Sompolinsky Zippelius.

Keywords : fluctuations spin glasses bare correlation function short range spin glass Parisi mean field solution





Autor: C. De Dominicis I. Kondor

Fuente: https://hal.archives-ouvertes.fr/



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