Effective Field Theory for Supercooled Liquids

Abstract

Starting from a microscopic model of liquids, we construct an effective theory of an overlap field through duplication of the system and coarse-graining. We then propose a recipe to extract a relaxation time and two characteristic length scales of a supercooled liquid from this effective field theory. Appealing to the Ginzburg-Landau-Wilson paradigm near the putative critical point, we further conclude that this effective field theory resides within the Ising universality class.

This paper has been withdrawn as the identification of the two-point correlation length of the effective field theory with the length envisioned by Adam and Gibbs was incorrect and the misidentification invalidates the construction of the theory