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Chaotic behavior in a Z_2 x Z_2 field theory

V. Latora·D. Bazeia
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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.

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V. Latora, D. Bazeia. 2000-02-14. Chaotic behavior in a Z_2 x Z_2 field theory. https://doi.org/10.1142/s0217751x99002359

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