Abstract
The nonlinear equation (⧠+m2) Φ (x) =λ:Φ3: for the quantum scalar field with special form of ordering of the interaction term is considered. The unique soultion Φ (x) of this equation is constructed. It satisfies the relativistic covariance, asymptotic, irredicibility and the relativistic primitive causality conditions in the sense of sesquilinear form. The spectral condition is also satisfied.
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