3634 K 51 pp. | ||

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Title | Gauge Theories of Vector Particles | |

Author(s) | Glashow, S. L.; Gell-Mann, M. | |

Publication Date | April 24, 1961 | |

Report Number | CTSL-28 | |

Unique Identifier | ACC0128 | |

Other Numbers | OSTI ID: 4837147 | |

Research Org | Synchrotron Lab., California Inst. of Tech., Pasadena, CA | |

Contract No | AT(11-1)-68 | |

Sponsoring Org | US Atomic Energy Commission (AEC) | |

Subject | Physics; Bosons; Differential Equations; Elementary Particles; Field Theory; Gauge Invariance; Group Theory; Interactions; Invariance Principle; Lie Groups; Matrices; Particle Models; Quantum Mechanics; Relativity Theory; Selection Rules; Transients; Vectors; Weak Interactions; Yang-mills Field | |

Keywords | Particle Physics | |

Related Web Pages | Sheldon Glashow and the Electroweak Theory Murray Gell-Mann, the Eightfold Way, and Quantum Chromodynamics | |

Abstract | The possibility of generalizing the Yang-Mills trick is examined. Thus we seek theories of vector bosons invariant under continuous groups of coordinate-dependent linear transformations. All such theories may be expressed as superpositions of certain "simple" theories; we show that each "simple theory is associated with a simple Lie algebra. We may introduce mass terms for the vector bosons at the price of destroying the gauge-invariance for coordinate-dependent gauge functions. The theories corresponding to three particular simple Lie algebras - those which admit precisely two commuting quantum numbers - are examined in some detail as examples. One of them might play a role in the physics of the strong interactions if there is an underlying super-symmetry, transcending charge independence, that is badly broken. The intermediate vector boson theory of weak interactions is discussed also. The so-called "schizon" model cannot be made to conform to the requirements of partial gauge-invariance. | |

3634 K 51 pp. | ||

View Document | ||