Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2000-12-08
Physics
Nuclear Physics
Nuclear Theory
16 pages; revised version adds notion of dynamically determined few body currents
Scientific paper
A general procedure for constructing conserved electromagnetic current operators, for both finite and infinite degree of freedom systems, is given. A four-momentum operator consisting of matter, photon, and electromagnetic interactions is assumed to be polynomial in photon creation and annihilation operators. Commutators of the four-momentum operator with the four-vector potential operator at the space-time point zero give the electromagnetic field tensor and current operator at the space-time point zero. In this construction there are no equations of motion to be satisfied and field operators at an arbitrary space-time point-defined as the four-momentum translates of the corresponding operators at the space-time point zero-are not local operators. Several examples are given to show how the construction is carried out.
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