Replica Field Theory of the Dynamical Transition in Glassy Systems

Details Replica Field Theory of the Dynamical Transition in Glassy Systems Replica Field Theory of the Dynamical Transition in Glassy Systems

2011-05-26

arxiv.org/abs/1105.5230v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

The critical behaviour of the dynamical transition of glassy system is
controlled by a Replica Symmetric action with n=1 replicas. The most divergent
diagrams in the loop expansion correspond at all orders to the solutions of a
stochastic equation leading to perturbative dimensional reduction. The theory
describe accurately numerical simulations of mean-field models.

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