Chaotic field theory: a sketch

被引：19

作者：

Cvitanovic, P ^{[1
]}

机构：

[1] Northwestern Univ, Dept Phys & Astron, Evanston, IL 60208 USA

来源：

PHYSICA A | 2000年 / 288卷 / 1-4期

关键词：

periodic orbits; field theory; semiclassical quantization; trace formulas;

D O I：

10.1016/S0378-4371(00)00415-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：61 / 80

页数：20

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