Second quantization of classical nonlinear relativistic field theory. I. Canonical formalism
- 1 July 1975
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 16 (7) , 1475-1481
- https://doi.org/10.1063/1.522696
Abstract
The canonical formalism for nonlinear relativistic classical field theory is presented. It is shown that the solutions Φ (x) of the nonlinear equation (⧠+m2) Φ (x) =λΦ3(x) as well as the asymptotic fields Φin(x) and Φout(x) are local relativistic fields with respect to Poisson brackets, with initial data as canonical variables. A convenient form for the generators of the Poincaré group is derived, and the properties of the scattering operator are discussed.Keywords
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