Abstract
The canonical formalism in classical theory of QCD is developed on a space-like hypersurface. The Poisson bracket on the space-like hypersurface is defined and it plays an important role to describe every algebraic relation in the canonical formalism into Lorentz covariant form. By converting the Poisson bracket on the hypersurface to four-dimensional commutator, we can pass over to QCD in the Heisenberg picture without spoiling the Lorentz covariance.
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