Universal spectral correlations from the ballistic sigma model

Details Universal spectral correlations from the ballistic sigma model Universal spectral correlations from the ballistic sigma model

2007-07-16

arxiv.org/abs/0707.2274v1

Nonlinear Sciences

Chaotic Dynamics

10 pages, 3 figures

Scientific paper

10.1103/PhysRevE.76.056204

We consider the semiclassical ballistic sigma-model as an effective theory describing the quantum mechanics of classically chaotic systems. Specifically, we elaborate on close analogies to the recently developed semiclassical theory of quantum interference in chaotic systems and show how semiclassical 'diagrams' involving near action degenerate sets of periodic orbits emerge in the field theoretical description. We further discuss how the universality phenomenon (i.e. the fact that individual chaotic systems behave according to the prescriptions of random matrix theory) can be understood from the perspective of the field theory.

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