Equal time commutation relations. The commutation relation or commutator of the quantum fields is the fun-damental objects in quantum field theory (QFT) in the operator formalism. 2), let us first consider the commutation relations of the electric-field strength and the vector potential. e. (1. What does work is to make the simple but bold step of declaring that for fermions the commutation relations should be replaced by anticommutation relations. 4) In order to verify that the anti-commutation relations for the creation and annihilation operators lead to the canonical equal-time anti-commutation relations between Y and Y we need to use the projection operators The most convincing success of the equal time commutation relations between vector and axial vector currents originally proposed by GELL-MAISΠSΓ [1] is the derivation of sum rules of the Adler-Weisberger type [2], [3]. While they would thus appear to describe different theories, we show that this is not in fact the case. Note: two contributions cancel for space-like separations: Particle created at x and annihilated at y cancels against particle created at y and annihilated at x. Indeed, usually the QFT is given by the canonical commutator, which is de-fined at a fixed time slice, of fundamental fields and the Hamiltonian, which describes the time evolution, in the operator formalism. Let us therefore understand how to realise the fundamental commutation relation $$ \comm {\hat q} {\hat p}=\iunit\hbar. wmy eht1 zn 0nmw6kgx yzxrf 62kr0 pbad8 2tm 9jej64ov npbar