| Preface | p. vii |
| Notation and Conventions | p. xv |
| Introduction: Some History | p. xix |
| Foundations | |
| Yang-Mills Field | p. 3 |
| Path Ordered Exponentials. Invariant Actions | p. 3 |
| Classical Solutions | p. 11 |
| Instantons | p. 15 |
| Topological Charge | p. 15 |
| Explicit Solutions | p. 19 |
| Path Integral in Quantum Mechanics | p. 25 |
| Conventional Approach | p. 25 |
| Euclidean Path Integral | p. 30 |
| Holomorphic Representation | p. 32 |
| Grassmann Dynamic Variables | p. 34 |
| Quantization of Gauge Theories | p. 39 |
| Dirac Quantization Procedure | p. 39 |
| Path Integral on the Lattice | p. 49 |
| [theta]-Vacuum | p. 55 |
| Quantum Pendulum | p. 55 |
| Large Gauge Transformations in Non-Abelian Theory | p. 62 |
| Perturbation Theory | |
| Diagram Technique in Simple and Complicated Theories | p. 69 |
| Feynman Rules from Path Integral | p. 70 |
| Fixing the Gauge | p. 76 |
| When the Gauge is Fixed ... | p. 85 |
| Gribov Copies | p. 85 |
| Ward Identities | p. 88 |
| Ghosts and Unitarity | p. 92 |
| BRST Quantization | p. 96 |
| Regularization and Renormalization | p. 103 |
| Different Regularization Schemes | p. 103 |
| Renormalized Theory as an Effective Theory. Slavnov-Taylor Identities | p. 109 |
| Running Coupling Constant | p. 119 |
| One-loop Calculations | p. 119 |
| Renormalization Group. Asymptotic Freedom and Infrared Slavery | p. 127 |
| Observables. Ambiguities. Anomalous Dimensions | p. 133 |
| Weathering Infrared Storms | p. 143 |
| Bloch-Nordsieck Cancellation | p. 144 |
| Non-Abelian Complications. Coherent States | p. 151 |
| Collinear Singularities: Theory and Phenomenology | p. 157 |
| Double Logarithmic Asymptotics | p. 157 |
| Jet Cross Sections | p. 159 |
| DIS and KLN | p. 165 |
| Nonperturbative QCD | |
| Symmetries: Anomalous and Not | p. 177 |
| Conformal Symmetry and its Breaking | p. 179 |
| Anomalous Chiral Symmetry | p. 184 |
| Nonsinglet Chiral Symmetry and its Spontaneous Breaking | p. 193 |
| Effective Chiral Langrangian | p. 196 |
| Quarks on Euclidean Lattice | p. 199 |
| Nielsen-Ninomiya's No-go Theorem | p. 199 |
| Ways to Go. The Ginsparg-Wilson Way | p. 203 |
| Aspects of Chiral Symmetry | p. 211 |
| QCD Inequalities. Vafa-Witten Theorem | p. 211 |
| Euclidean Dirac Spectral Density | p. 214 |
| Infrared Face of Anomaly | p. 219 |
| Chiral Symmetry Breaking and Confinement | p. 223 |
| Mesoscopic QCD | p. 227 |
| Partition Function: N[subscript f] = 1 | p. 227 |
| Partition Function: N[subscript f] [greater than or equal] 2 | p. 230 |
| Spectral Sum Rules | p. 232 |
| Instanton Gas and Instanton Liquid | p. 234 |
| Fairy QCD | p. 241 |
| Finite [theta] | p. 241 |
| Large N[subscript c] | p. 247 |
| ITEP Sum Rules: the Duality Festival | p. 255 |
| The Method | p. 255 |
| Nucleon Mass and Residue | p. 257 |
| Pion Formfactor and Nucleon Magnetic Moments | p. 268 |
| Hot and Dense QCD | p. 275 |
| Lukewarm Pion Gas. Restoration of Chiral Symmetry | p. 277 |
| Quark-Gluon Plasma | p. 282 |
| Finite Baryon Density. Color Superconductivity | p. 287 |
| Confinement | p. 291 |
| Weak Confinement and Strong Confinement. Wilson Criterium | p. 292 |
| Schwinger Model | p. 295 |
| Polyakov Model | p. 298 |
| Dual Superconductivity | p. 302 |
| Unitary groups | p. 307 |
| Bibliography | p. 315 |
| Index | p. 319 |
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