The large scale behavior of the simplest non-mean-field spin-glass system is analyzed, and the critical exponent related to the divergence of the correlation length is computed at two loops within the epsilon-expansion technique with two independent methods. The techniques presented show how the underlying ideas of the renormalization group apply also in this disordered model, in such a way that an epsilon-expansion can be consistently set up. By pushing such calculation to high orders in epsilon, a consistent non-mean-field theory for such disordered system could be established, giving a substantial contribution the development of a predictive theory for real spin glasses.

Renormalization group computation of the critical exponents of hierarchical spin glasses / Michele, Castellana; Parisi, Giorgio. - In: PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS. - ISSN 1539-3755. - 82:4(2010), p. 040105. [10.1103/PhysRevE.82.040105]

Renormalization group computation of the critical exponents of hierarchical spin glasses

PARISI, Giorgio
2010

Abstract

The large scale behavior of the simplest non-mean-field spin-glass system is analyzed, and the critical exponent related to the divergence of the correlation length is computed at two loops within the epsilon-expansion technique with two independent methods. The techniques presented show how the underlying ideas of the renormalization group apply also in this disordered model, in such a way that an epsilon-expansion can be consistently set up. By pushing such calculation to high orders in epsilon, a consistent non-mean-field theory for such disordered system could be established, giving a substantial contribution the development of a predictive theory for real spin glasses.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/410286
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