## Foundations of Quantum Chromodynamics: An Introduction to Perturbative Methods in Gauge TheoriesThis volume develops the techniques of perturbative QCD in great pedagogical detail starting with field theory. Aside from extensive treatments of the renormalization group technique, The operator product expansion formalism and their applications to short-distance reactions, this book provides a comprehensive introduction to gauge theories. Examples and exercises are provided to amplify the discussions on important topics. This is an ideal textbook on the subject of quantum chromodynamics and is essential for researchers and graduate students in high energy physics, nuclear physics and mathematical physics. |

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### Contents

Introduction | 1 |

Elements of Quantum Chro mo dynamics | 24 |

Renormalization Group Method | 180 |

Operator Product Expansion | 220 |

Infrared Divergences | 331 |

### Other editions - View all

Foundations Of Quantum Chromodynamics: An Introduction To Perturbative ... Muta Taizo Limited preview - 2009 |

Foundations of Quantum Chromodynamics: An Introduction to Perturbative ... Taizō Muta No preview available - 2010 |

### Common terms and phrases

According annihilation applying arbitrary argument asymptotic calculation called cancellation coefficient color composite operator condition connected consider contribution corresponding coupling constant cross section defined definition dependence derive diagram dimension dimensional discussed divergence effect electron equation example expansion expression external fact factor Feynman Feynman amplitude field final finite fixed formula gauge gauge field give given gluon Green functions hadrons Hence identity independent inelastic infrared divergence insertion integral interaction invariant Lagrangian lines loop mass matrix element method momenta momentum Note observed obtain one-loop parameter particles performed perturbative photon physical prediction present proof propagator quantities quantum quark region regularization relation renormalization renormalization group representation represents respectively result scale scattering scheme seen self-energy shown soft divergence soft photon space structure subtraction symmetry theorem theory transformation vertex