title: Renormalization group computation of the critical exponents of hierarchical spin glasses.
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 ε-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 ε-expansion can be consistently set up. By pushing such calculation to high orders in ε, 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.
authors.affiliation: Dipartimento di Fisica, Università di Roma La Sapienza, 00185 Rome, Italy.
authors.forename: Michele
authors.initials: M
authors.lastname: Castellana
authors.forename: Giorgio
authors.initials: G
authors.lastname: Parisi