Chaotic Field Theory - a Sketch
Chaotic Dynamics
2009-10-31 v1 High Energy Physics - Theory
Abstract
Spatio-temporally chaotic dynamics of a classical field can be described by means of an infinite hierarchy of its unstable spatio-temporally periodic solutions. The periodic orbit theory yields the global averages characterizing the chaotic dynamics, as well as the starting semiclassical approximation to the quantum theory. New methods for computing corrections to the semiclassical approximation are developed; in particular, a nonlinear field transformation yields the perturbative corrections in a form more compact than the Feynman diagram expansions.
Cite
@article{arxiv.nlin/0001034,
title = {Chaotic Field Theory - a Sketch},
author = {Predrag Cvitanovic},
journal= {arXiv preprint arXiv:nlin/0001034},
year = {2009}
}
Comments
22 pp, 24 figs, uses elsart.cls