Properties of the perturbative expansion around the mode-coupling dynamical transition in glasses
Disordered Systems and Neural Networks
2010-01-13 v1 Soft Condensed Matter
Abstract
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.
Keywords
Cite
@article{arxiv.1001.1746,
title = {Properties of the perturbative expansion around the mode-coupling dynamical transition in glasses},
author = {Silvio Franz and Giorgio Parisi and Federico Ricci-Tersenghi and Tommaso Rizzo},
journal= {arXiv preprint arXiv:1001.1746},
year = {2010}
}
Comments
5 pages, 1 figure