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Relativistically covariant formulation of the canonical theory of classical fields II

Hiroshi Ozaki
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Abstract

A covariant description of the canonical theory for interacting classical fields is developed on a space-like hypersurface. An identity invariant under the canonical transformations is obtained. The identity follows a canonical equation in which the interaction Hamiltonian density genarates a deformation of the space-like hypersurface. The equation just corresponds to the Yang-Feldman equation in the Heisenberg pictures in quantum field theory.

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Hiroshi Ozaki. 2000-10-31. Relativistically covariant formulation of the canonical theory of classical fields II. https://arxiv.org/abs/hep-th/0010284

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