| Preface to the Third Edition | p. vii |
| Preface to the Second Edition | p. ix |
| Preface to the First Edition | p. xi |
| Introduction | |
| General Survey | p. 1 |
| Quarks and Color | p. 7 |
| Low-lying baryon states | p. 9 |
| Quark confinement | p. 10 |
| Indirect experimental evidences | p. 11 |
| Need for Asymptotic Freedom | p. 15 |
| Notation and Conventions | p. 21 |
| Elements of Quantum Chromodynamics | |
| Gauge Principle | p. 24 |
| Electrodynamics | p. 24 |
| Yang-Mills theories | p. 29 |
| Quantization | p. 35 |
| Trouble with the canonical quantization | p. 35 |
| Quantization in the Feynman functional-integral formalism | p. 39 |
| Quantization of gauge fields | p. 47 |
| Fermions | p. 53 |
| Feynman Rules | p. 57 |
| S matrix and Green functions | p. 57 |
| Ø3 theory | p. 71 |
| Quantum chromodynamics | p. 81 |
| Simple example in e+e- annihilation | p. 95 |
| Covariant canonical quantization of gauge fields | p. 98 |
| Regularization | p. 103 |
| Review of regularization schemes | p. 103 |
| Dimensional regularization | p. 109 |
| Preliminary remarks on renormalization schemes | p. 119 |
| Renormalization | p. 124 |
| Power counting | p. 124 |
| Renormalizable interactions | p. 128 |
| Renormalization in Ø3 theory | p. 132 |
| BPHZ method in Ø3 theory | p. 149 |
| Quantum chromodynamics | p. 157 |
| Generalized Ward-Takahashi identities | p. 173 |
| Renormalization Group Method | |
| Renormalization Group | p. 180 |
| Finite renormalization | p. 180 |
| Group of finite renormalizations | p. 183 |
| Renormalization group equations | p. 186 |
| Renormalization group equation in the MS scheme | p. 186 |
| The renormalization group equation in other schemes | p. 192 |
| Solution of the Renormalization Group Equations | p. 199 |
| Solution of the æt Hooft-Weinberg equation | p. 199 |
| Behavior of the solution | p. 201 |
| Asymptotic Freedom | p. 206 |
| Renormalization group functions in QCD | p. 206 |
| Asymptotic freedom in QCD | p. 214 |
| Renormalization group functions in other theories | p. 216 |
| Anomalous Dimensions | p. 217 |
| Operator Product Expansion | |
| Operator Products | p. 222 |
| Composite operators | p. 222 |
| Product of currents in deep inelastic scatterings | p. 225 |
| Product of currents in e+e- annihilations | p. 231 |
| Operator-product Expansion in Perturbation Theory | p. 234 |
| Free field theory | p. 234 |
| The parton model | p. 238 |
| Renormalization of composite operators | p. 243 |
| Proof of the operator product expansion | p. 249 |
| Light-cone expansion | p. 262 |
| Coefficient Functions | p. 263 |
| Singularity in coefficient functions | p. 263 |
| Renormalization group equations | p. 264 |
| Physical Applications | |
| Total Cross Section for e+e- Annihilations | p. 268 |
| Renormalization group equation | p. 268 |
| Order-²2 correction | p. 270 |
| Higher-order corrections | p. 277 |
| Deep Inelastic Lepton-hadron Scatterings | p. 278 |
| Moment sum rules for structure functions | p. 278 |
| Renormalization-group-improved perturbation | p. 283 |
| Flavor structure of composite operators | p. 289 |
| The nonsinglet part | p. 291 |
| The singlet part | p. 297 |
| Experimental tests | p. 300 |
| Renormalization-scheme Dependence | p. 307 |
| Renormalization-scheme dependence of perturbative predictions | p. 307 |
| ß function and anomalous dimensions | p. 311 |
| e+e- annihilations and deep inelastic scatterings | p. 312 |
| Jets | p. 315 |
| qq jets in e+e- annihilations | p. 315 |
| Higher order effects | p. 320 |
| Experimental observation | p. 321 |
| Factorization and the Drell-Yan Process | p. 322 |
| Infrared Divergences | |
| One-loop Example | p. 331 |
| Origin of infrared divergences | p. 331 |
| Regularization | p. 334 |
| Cancellation of infrared divergences | p. 338 |
| Proof of the Soft-photon Cancellation in QED | p. 345 |
| Soft-photon emission | p. 345 |
| Virtual photons | p. 351 |
| Cancellation | p. 354 |
| General Arguments for Infrared Cancellations | p. 355 |
| Infrared divergence in QCD | p. 355 |
| The Kinoshita-Poggio-Quinn theorem | p. 358 |
| The Kinoshita-Lee-Nauenberg theorem | p. 364 |
| One-loop Contribution to Superficially Divergent Feynman Amplitudes in QCD | p. 371 |
| Useful Formulas involving the SU(N) Generators | p. 380 |
| Renormalization Constants in QCD | p. 382 |
| Feynman Rules | p. 384 |
| Bibliography | p. 384 |
| Index | p. 403 |
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