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Real-space Renormalization Group analysis of a non-mean-field spin-glass

2011/05/31 by Michele Castellana, M. Castellana · 1 citation
Economics, Econometrics and Finance · Materials Science · Physics and Astronomy · #Complex Systems and Time Series Analysis #Critical dimension #Field (mathematics) #Functional renormalization group #Material Dynamics and Properties #Renormalization #Renormalization group #Replica #Space (punctuation) #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech

paper · pdf · doi:10.1209/0295-5075/95/47014

published as Europhysics Letters 95(4), 47014 (2011)

openalex publication_date 2011/07/29 · arxiv created 2011/08/23 · arxiv updated 2014/09/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

A real-space Renormalization Group approach is presented for a non-mean-field spin-glass. This approach has been conceived in the effort to develop an alternative method to the Renormalization Group approaches based on the replica method. Indeed, non-perturbative effects in the latter are quite generally out of control, in such a way that such approaches are non-predictive. On the contrary, we show that the real-space method presented here yields a precise prediction of the critical behavior and exponents of the model.

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