Breakdown of a renormalized perturbation expansion around mode-coupling theory of the glass transition

Abstract

We analyze a renormalized perturbation expansion around the mode-coupling theory of the glass transition. We focus on the long-time limit of the irreducible memory function. We discuss a renormalized diagrammatic expansion for this function and re-sum two infinite classes of diagrams. We show that the resulting contributions to the irreducible memory function diverge at the mode-coupling transition. A further re-summation of ladder diagrams constructed by iterating these divergent contributions gives a finite result which cancels the mode-coupling theory's expression for the irreducible memory function.

Revised version published in Europhysics Letters

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Cited by in corpus (3)

• A simple theory for the dynamics of mean-field-like models of glass-forming fluids
• Microscopic Theory of a Fluctuation-Induced Dynamical Crossover in Supercooled Liquids
• Theory of the $\beta$-Relaxation Beyond Mode-Coupling Theory: A Microscopic Treatment