### Abstract

Field theories containing states of both positive and negative norm are considered. With the correct definition of the number operators for the quantum fields, all physical quantities are rendered canonically normalized. If the theory admits a global symmetry leading to a superselection rule which forbids transitions between positive- and negative-norm states, then the negative-norm states are allowed to be physical. Specifically, a spinor theory with higher-order field equations and multiple excitations is considered and applied to the charged lepton system: e, ,. In this model, the negative norm of the muon state allows us to understand the nonexistence of e decay. For minimal coupling, the theory is renormalizable and equivalent to three separate fermion electrodynamics with the additional prediction of equal charge for the leptons. A further anomalous magnetic moment coupling can only allow one of the decays or e.

Original language | English (US) |
---|---|

Pages (from-to) | 2493-2499 |

Number of pages | 7 |

Journal | Physical Review D |

Volume | 27 |

Issue number | 10 |

DOIs | |

State | Published - Jan 1 1983 |

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### All Science Journal Classification (ASJC) codes

- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D*,

*27*(10), 2493-2499. https://doi.org/10.1103/PhysRevD.27.2493

}

*Physical Review D*, vol. 27, no. 10, pp. 2493-2499. https://doi.org/10.1103/PhysRevD.27.2493

**Negative-norm states, superselection rules, and the lepton family.** / Crawford, J. P.; Barut, A. O.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Negative-norm states, superselection rules, and the lepton family

AU - Crawford, J. P.

AU - Barut, A. O.

PY - 1983/1/1

Y1 - 1983/1/1

N2 - Field theories containing states of both positive and negative norm are considered. With the correct definition of the number operators for the quantum fields, all physical quantities are rendered canonically normalized. If the theory admits a global symmetry leading to a superselection rule which forbids transitions between positive- and negative-norm states, then the negative-norm states are allowed to be physical. Specifically, a spinor theory with higher-order field equations and multiple excitations is considered and applied to the charged lepton system: e, ,. In this model, the negative norm of the muon state allows us to understand the nonexistence of e decay. For minimal coupling, the theory is renormalizable and equivalent to three separate fermion electrodynamics with the additional prediction of equal charge for the leptons. A further anomalous magnetic moment coupling can only allow one of the decays or e.

AB - Field theories containing states of both positive and negative norm are considered. With the correct definition of the number operators for the quantum fields, all physical quantities are rendered canonically normalized. If the theory admits a global symmetry leading to a superselection rule which forbids transitions between positive- and negative-norm states, then the negative-norm states are allowed to be physical. Specifically, a spinor theory with higher-order field equations and multiple excitations is considered and applied to the charged lepton system: e, ,. In this model, the negative norm of the muon state allows us to understand the nonexistence of e decay. For minimal coupling, the theory is renormalizable and equivalent to three separate fermion electrodynamics with the additional prediction of equal charge for the leptons. A further anomalous magnetic moment coupling can only allow one of the decays or e.

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U2 - 10.1103/PhysRevD.27.2493

DO - 10.1103/PhysRevD.27.2493

M3 - Article

AN - SCOPUS:35949019592

VL - 27

SP - 2493

EP - 2499

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 10

ER -