A renormalization group computation of the critical exponents of hierarchical spin glasses
Disordered Systems and Neural Networks
2014-09-12 v3
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.
Keywords
Cite
@article{arxiv.1006.5628,
title = {A renormalization group computation of the critical exponents of hierarchical spin glasses},
author = {Michele Castellana and Giorgio Parisi},
journal= {arXiv preprint arXiv:1006.5628},
year = {2014}
}