Relativistically covariant formulation of the canonical theory of classical fields I

Details Relativistically covariant formulation of the canonical theory of classical fields I Relativistically covariant formulation of the canonical theory of classical fields I

2000-10-30

arxiv.org/abs/hep-th/0010273v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, 2 EPS figures, uses revtex.sty

Scientific paper

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 Poincar{\'e} 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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