The construction of solution of nonlinear relativistic wave equation in λ:Φ44: theory
- 1 February 1975
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 16 (2) , 173-176
- https://doi.org/10.1063/1.522524
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.Keywords
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