  In field theory the Poisson bracket $\{F, \mathcal{H}\}$ between an arbitrary
function $F$ and the system Hamiltonian $\mathcal{H}$ acquires odd
contributions. Here a modification is worked out to remove those terms, which
leads to a certain version of the energy-momentum tensor. The resulting Poisson
bracket is thus more easily accessible for quantization. An outlook hereupon is
given, based on a field theoretic alternative to non-commutative spacetime.
