## 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

annihilation anomalous dimension arbitrary argument asymptotic freedom calculation cancellation coefficient function color composite operator connected Green function contribution corresponding counter terms coupling constant deep inelastic scatterings degree of divergence derive diagram G dimensional regularization electromagnetic example expression external lines factor fermion Feynman amplitude Feynman diagram Feynman integral Feynman rules finite formula gauge transformation ghost given by Eq gluon Green functions hadrons Hence infrared divergence Inserting Eq integrand interaction jets Lagrangian loop mass dimension massless matrix element method momenta momentum Note obtain one-loop order operator-product expansion overall divergence parameter particles parton perturbation theory physical prediction propagator quantization quantum chromodynamics renormaiization renormalizability renormalization constant renormalization group equation renormalization scale renormalization scheme representation respectively right-hand side self-energy short-distance shown in Fig side of Eq singularity soft divergence soft photon space-time structure functions subdiagrams subsection superficial degree symmetry theorem total cross section two-loop vertex Ward-Takahashi identities