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

Grzegorz Szamel; Elijah Flenner; Hisao Hayakawa

doi:10.1209/0295-5075/103/56003

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arXiv · 1305.4136

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

Grzegorz Szamel·Elijah Flenner·Hisao Hayakawa

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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.

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Grzegorz Szamel, Elijah Flenner, Hisao Hayakawa. 2013-10-03. Breakdown of a renormalized perturbation expansion around mode-coupling theory of the glass transition. https://doi.org/10.1209/0295-5075%2F103%2F56003

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