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Families of stable and metastable solitons in coupled system of scalar fields. (English) Zbl 1247.81260

Summary: In this paper, we obtain stable and metastable soliton solutions of a coupled system of two real scalar fields with five discrete points of vacua. These solutions have definite topological charges and rest energies and show classical dynamical stability. From a quantum point of view, however, the \(V\)-type solutions are expected to be unstable and decay to \(D\)-type solutions. The induced decay of a \(V\)-type soliton into two \(D\)-type ones is calculated numerically, and shown to be chiral, in the sense that the decay products do not respect left-right symmetry.

MSC:

81T10 Model quantum field theories
37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems
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