A renormalization group computation of the critical exponents of hierarchical spin glasses

Michele Castellana; Giorgio Parisi

doi:10.1103/physreve.83.041134; 10.1103/physreve.82.040105

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arXiv · 1006.5628

A renormalization group computation of the critical exponents of hierarchical spin glasses

Michele Castellana·Giorgio Parisi

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Abstract

The infrared behaviour of a non-mean field spin-glass system is analysed, 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. Both methods yield the same result confirming that the infrared behaviour of the theory if well-defined and the underlying ideas of the Renormalization Group hold also in such non-mean field disordered model. By pushing such calculation to high orders in epsilon, a consistent and predictive non-mean field theory for such disordered system could be established.

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Michele Castellana, Giorgio Parisi. 2010-06-29. A renormalization group computation of the critical exponents of hierarchical spin glasses. https://doi.org/10.1103/physreve.83.041134; 10.1103/physreve.82.040105

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