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

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

2010-06-29

arxiv.org/abs/1006.5628v3

Phys. Rev. E 83, 041134 (2011); Phys. Rev. E 82, 040105(R) (2010) (short version)

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

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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