We expect to gain in understanding of the interaction of classical and quantum effects on the chaotic dynamical behavior of spatially extended systems, especially elementary fields related to high energy heavy ion collisions and the early evolution of the universe. In particular we expect to explore under what circumstances an inertia generated by quantum effects can suppress chaotic behavior.
This knowledge is important for a realistic physical picture of the early phase of relativistic heavy ion collisions where the chances of deconfined quark -- gluon matter formation from a hadronic initial state can be appreciably facilitated by chaotic long wavelength field dynamics. Especially an estimate of the time characteristic for this process and the energy stored in collective fields will provide important information for other models of these reactions.
Furthermore we expect to learn that in what extent local symmetry constraints may enhance the control of chaos. In this context the particular role of the nonabelian Gauss' law shall be explored. Chaos control in general is object of research interest even outside the physics (e.g. biomedical research on heart attack control).