THEORY OF HEAVY ELECTRON

Quantum electrodynamics with a generalized minimal conserved current of the form jμ=α1γμ+α2Pμ is investigated. Fixing the maximum value of α2 by the anomalous magnetic moment of the electron (muon), we obtain an excited state of mass m′>~(1+4πα)m [881 MeV for e′], and of magnetic moment ≤3 in units of 12m′, that can decay to the ground state. The excited state has negative norm, but can be made entirely consistent in the second-quantized theory. The equations are interpreted as those describing a partly dressed" particle; thus a new form of the perturbation series is suggested. © 1969 The American Physical Society."