The Electric Charges
In the preceding chapter the charge operators Q G , Q c , Q M , have been defined and their relations discussed in a non-rigorous way. We wish to rigorize these important matters as far as is possible without an explicit solution of the theory. We assume the existence of a rigorously defined QED as a theory of quantum fields A µ , , Ψ, Ψ̄ satisfying the p-Maxwell equations (6.14) and the Dirac equations (6. 10) . We need not know the exact definition of the singular products Ψ̄γ µ Ψ and .A̸ Ψ, as long as the current j µ thus defined is conserved. The theory must satisfy the Postulates 1–6 or, equivalently, the Properties W1—W5 described in Chap. 4.
KeywordsInfinitesimal Generator Exact Definition Preceding Chapter Conserve Vector Current Local Field Theory
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