Chaotic behavior in a Z_2 x Z_2 field theory
arXiv:hep-th/0002113 · doi:10.1142/S0217751X99002359
Abstract
We investigate the presence of chaos in a system of two real scalar fields with discrete Z_2 x Z_2 symmetry. The potential that identify the system is defined with a real parameter r and presents distinct features for r>0 and for r<0. For static field configurations, the system supports two topological sectors for r>0, and only one for r<0. Under the assumption of spatially homogeneous fields, the system exhibts chaotic behavior almost everywhere in parameter space. In particular a more complex dynamics appears for r>0; in this case chaos can decrease for increasing energy, a fact that is absent for r<0.
Revtex, 13 pages, no figures. Version with figures in Int. J. Mod. Phys. A14 (1999) 4967