2316 K 74 pp. | ||

View Document | ||

Title | Asymptotically Free Gauge Theories. I | |

Author(s) | Wilczek, Frank; Gross, David J. | |

Publication Date | July 1973 | |

Report Number | NAL-PUB-73/49-THY | |

Unique Identifier | ACC0083 | |

Other Numbers | OSTI ID: 4312175; NSA-29-023347 | |

Research Org | National Accelerator Laboratory and Joseph Henry Laboratories, Princeton University, Princeton, New Jersey | |

Sponsoring Org | U. S. Atomic Energy Commission (AEC) | |

Subject | N76200 --Physics (Theoretical)--Quantum Field Theories; N64240 --Physics (High Energy)--Particle Interactions & Properties (Theoretical)--Strong (General); Strong Interactions-- Gauge Invariance; Yang-Mills Theory-- Renormalization; Annihilation; Cross Sections; Electron-positron Interactions; Light Cone; Parton Model; Quantum Field Theory; Scaling Laws; Structure Functions; SU-3 Groups; Symmetry Breaking | |

Keywords | asymptotic freedom, gauge theories, strong interactions, scaling phenomena, models, symmetry breaking, color, scaling, scalar mesons | |

Related Web Pages | Frank Wilczek, Asymptotic Freedom, and Strong Interaction | |

Abstract | Asymptotically free gauge theories of the strong interactions are constructed and analyzed. The reasons for doing this are recounted, including a review of renormalization group techniques and their application to scaling phenomena. The renormalization group equations are derived for Yang-Mills theories. The parameters that enter into the equations are calculated to lowest order and it is shown that these theories are asymptotically free. More specifically the effective coupling constant, which determines the ultraviolet behavior of the theory, vanishes for large space-like momenta. Fermions are incorporated and the construction of realistic models is discussed. We propose that the strong interactions be mediated by a "color" gauge group which commutes with SU(3)xSU(3). The problem of symmetry breaking is discussed. It appears likely that this would have a dynamical origin. It is suggested that the gauge symmetry might not be broken, and that the severe infrared singularities prevent the occurrence of non-color singlet physical states. The deep inelastic structure functions, as well as the electron position total annihilation cross section are analyzed. Scaling obtains up to calculable logarithmic corrections, and the naive lightcone or parton model results follow. The problems of incorporating scalar mesons and breaking the symmetry by the Higgs mechanism are explained in detail. | |

2316 K 74 pp. | ||

View Document | ||