Chaotic behavior in a Z_2 x Z_2 field theory

Details Chaotic behavior in a Z_2 x Z_2 field theory Chaotic behavior in a Z_2 x Z_2 field theory

2000-02-14

arxiv.org/abs/hep-th/0002113v1

Int.J.Mod.Phys. A14 (1999) 4967

Physics

High Energy Physics

High Energy Physics - Theory

Revtex, 13 pages, no figures. Version with figures in Int. J. Mod. Phys. A14 (1999) 4967

Scientific paper

10.1142/S0217751X99002359

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.

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