Spin Glass Theory and Beyond

  title={Spin Glass Theory and Beyond},
  author={Marc M{\'e}zard and Giorgio Parisi and M. A. Virasoro and David J. Thouless},
This book contains a detailed and self-contained presentation of the replica theory of infinite range spin glasses. The authors also explain recent theoretical developments, paying particular attention to new applications in the study of optimization theory and neural networks. About two-thirds of the book are a collection of the most interesting and pedagogical articles on the subject. 

On the ubiquity of spin glass concepts and methods

On Spin Glass Theory

In this paper I present the progress that have been made in the theory of spin glasses (and related problems) in last years; the physical meaning of replica symmetry breaking is explained and some of

Mean field theory of spin glasses: statics and dynamics

In these lectures I will review some theoretical results that have been obtained for spin glasses. I will concentrate my attention on the formulation of the mean field approach and on its numerical

An Introduction to the Theory of Spin Glasses

This part focuses on methods for fully connected models and systems defined on a tree, such as the replica method, the Thouless-Anderson-Palmer formalism, the cavity method, and the dynamical mean-field theory.

Spin glasses and neural networks

Introduction to the SK model

This paper is an overview of recent advances in spin glass models. Main focus is on the Sherrington-Kirkpatrick model and, in particular, on the results that explain the origin of various hypotheses

A spin-glass-like phase in complex nonmagnetic systems. Various kinds of replica symmetry breaking

A brief review of the works of the authors on generalized spin glass models is given. The problem of the dependence of transition scenario on different factors is discussed. A classification of spin

Replica field theory for deterministic models: II. A non-random spin glass with glassy behaviour

We introduce and sNdy a model which admits a complex landscape without containing quenched disorder. Continuing our previous investigation we introduce a disordered model which allows us to

The physics of the glass transition

First Steps in Glass Theory

This paper is an introduction to some of the main present issues in the theory of structural glasses. After recalling a few experimental facts, it gives a short account of the analogy between fragile