%0 Journal Article %1 Cvitanovic_2000 %A Cvitanović, Predrag %D 2000 %J Physica A: Statistical Mechanics and its Applications %K chaos field-theory turbulence %N 1–4 %P 61 - 80 %R 10.1016/S0378-4371(00)00415-5 %T Chaotic field theory: a sketch %U http://www.sciencedirect.com/science/article/pii/S0378437100004155 %V 288 %X 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.

@article{Cvitanovic_2000, 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.}, added-at = {2013-02-15T16:51:31.000+0100}, author = {Cvitanović, Predrag}, biburl = {https://www.bibsonomy.org/bibtex/29295b51e54c6a76b7a6e5049f9e4a90d/knielson}, description = {ScienceDirect.com - Physica A: Statistical Mechanics and its Applications - Chaotic field theory: a sketch}, doi = {10.1016/S0378-4371(00)00415-5}, interhash = {10f95cc19d716764e9d37ed288d4621a}, intrahash = {9295b51e54c6a76b7a6e5049f9e4a90d}, issn = {0378-4371}, journal = {Physica A: Statistical Mechanics and its Applications}, keywords = {chaos field-theory turbulence}, note = {Dynamics Days Asia-Pacific: First International Conference on NonLinear Science}, number = {1–4}, pages = {61 - 80}, timestamp = {2013-02-15T16:51:31.000+0100}, title = {Chaotic field theory: a sketch}, url = {http://www.sciencedirect.com/science/article/pii/S0378437100004155}, volume = 288, year = 2000 }