Examples of Semiclassical Instanton-Like Scattering: Massless $ϕ^4$ and SU(2) Gauge Theories

Two-parameter sets of solutions to the classical field equations in the massless $ϕ^4$ model and SU(2) gauge theory are found, each solution presumably describing a multi-particle instanton-like transition at high energy. In the limit of small number of initial particles, the probability of the transition is suppressed by $\exp(-2S_0)$, where $S_0$ is the instanton action.

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