title: Quantitative field theory of the glass transition.
abstract: We develop a full microscopic replica field theory of the dynamical transition in glasses. By studying the soft modes that appear at the dynamical temperature, we obtain an effective theory for the critical fluctuations. This analysis leads to several results: we give expressions for the mean field critical exponents, and we analytically study the critical behavior of a set of four-points correlation functions, from which we can extract the dynamical correlation length. Finally, we can obtain a Ginzburg criterion that states the range of validity of our analysis. We compute all these quantities within the hypernetted chain approximation for the Gibbs free energy, and we find results that are consistent with numerical simulations.
authors.affiliation: Laboratoire de Physique Théorique et Modèles Statistiques, Centre National de la Recherche Scientifique et Université Paris-Sud 11,  Unité Mixte de Recherche 8626, 91405 Orsay Cedex,  France.
authors.forename: Silvio
authors.initials: S
authors.lastname: Franz
authors.forename: Hugo
authors.initials: H
authors.lastname: Jacquin
authors.forename: Giorgio
authors.initials: G
authors.lastname: Parisi
authors.forename: Pierfrancesco
authors.initials: P
authors.lastname: Urbani
authors.forename: Francesco
authors.initials: F
authors.lastname: Zamponi