Relativistically covariant formulation of the canonical theory of classical fields I

2000/10/30 by Ozaki, Hiroshi
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.hep-th/0010273

Abstract

An explicit Lorentz covariant formulation of the canonical theory for classical fields is established on a space-like hypersurface. Hamilton's equations and a Poisson bracket are defined on the space-like hypersurface. The Poisson bracket relations between total momentum and total angular momentum satisfies the Poincaré algebra. It is shown that our Poisson bracket has the same symplectic structure that was brought in the covariant symplectic approach.

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