Chaotic Field Theory - a Sketch

Details Chaotic Field Theory - a Sketch Chaotic Field Theory - a Sketch

2000-01-18

arxiv.org/abs/nlin/0001034v1

Physica A288 (2000) 61

Nonlinear Sciences

Chaotic Dynamics

22 pp, 24 figs, uses elsart.cls

Scientific paper

10.1016/S0378-4371(00)00415-5

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.

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