Renormalization group computation of the critical exponents of hierarchical spin glasses

Michele Castellana 1, 2, Giorgio Parisi 3

Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 82, 4 (2010) 040105

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.

  • 1. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
    CNRS : UMR8626 – Université Paris XI - Paris Sud
  • 2. Dipartimento di Fisica and INFM,
    Università degli studi di Roma I - La Sapienza
  • 3. Dipartimento di Fisica,
    Università Roma I