Properties of the perturbative expansion around the mode-coupling dynamical transition in glasses

Details Properties of the perturbative expansion around the mode-coupling dynamical transition in glasses Properties of the perturbative expansion around the mode-coupling dynamical transition in glasses

2010-01-12

arxiv.org/abs/1001.1746v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 1 figure

Scientific paper

In this letter we show how to perform a systematic perturbative approach for the mode-coupling theory. The results coincide with those obtained via the replica approach. The upper critical dimension turns out to be always 8 and the correlations have a double pole in momentum space in perturbations theory. Non-perturbative effects are found to be very important. We suggest a possible framework to compute these effects.

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