| Preface |
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xi | |
| Notations and Conventions |
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xix | |
| Editor's Foreword |
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xxii | |
| Part I: Feynman Diagrams and Quantum Electrodynamics |
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Invitation: Pair Production in e+e- Annihilation |
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3 | (10) |
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13 | (22) |
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The Necessity of the Field Viewpoint |
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13 | (2) |
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Elements of Classical Field Theory |
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15 | (4) |
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The Klein-Gordon Field as Harmonic Oscillators |
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19 | (6) |
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The Klein-Gordon Field in Space-Time |
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25 | (10) |
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33 | (2) |
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35 | (42) |
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Lorentz Invariance in Wave Equations |
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35 | (5) |
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40 | (5) |
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Free-Particle Solutions of the Dirac Equation |
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45 | (4) |
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Dirac Matrices and Dirac Field Bilinears |
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49 | (3) |
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Quantization of the Dirac Field |
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52 | (12) |
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Discrete Symmetries of the Dirac Theory |
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64 | (13) |
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71 | (6) |
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Interacting Fields and Feynman Diagrams |
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77 | (54) |
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Perturbation Theory---Philosophy and Examples |
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77 | (5) |
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Perturbation Expansion of Correlation Functions |
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82 | (6) |
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88 | (2) |
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90 | (9) |
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Cross Sections and the S-Matrix |
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99 | (9) |
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Computing S-Matrix Elements from Feynman Diagrams |
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108 | (7) |
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Feynman Rules for Fermions |
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115 | (8) |
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Feynman Rules for Quantum Electrodynamics |
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123 | (8) |
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126 | (5) |
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Elementary Processes of Quantum Electrodynamics |
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131 | (44) |
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131 | (10) |
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e+e- → μ+μ-: Helicity Structure |
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141 | (5) |
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e+e- → μ+μ-: Nonrelativistic Limit |
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146 | (7) |
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153 | (5) |
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158 | (17) |
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169 | (6) |
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Radiative Corections: Introduction |
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175 | (36) |
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176 | (8) |
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The Electron Vertex Function: Formal Structure |
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184 | (5) |
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The Electron Vertex Function: Evaluation |
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189 | (10) |
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The Electron Vertex Function: Infrared Divergence |
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199 | (3) |
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Summation and Interpretation of Infrared Divergences |
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202 | (9) |
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208 | (3) |
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Radiative Corrections: Some Formal Developments |
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211 | (54) |
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Field-Strength Renormalization |
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211 | (11) |
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The LSZ Reduction Formula |
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222 | (8) |
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230 | (8) |
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The Ward-Takahashi Identity |
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238 | (6) |
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Renormalization of the Electric Charge |
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244 | (21) |
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257 | (2) |
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Final Project: Radiation of Gluon Jets |
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259 | (6) |
| Part II: Renormalization |
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Invitation: Ultraviolet Cutoffs and Critical Fluctuations |
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265 | (10) |
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275 | (40) |
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Path Integrals in Quantum Mechanics |
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275 | (7) |
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Functional Quantization of Scalar Fields |
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282 | (10) |
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Quantum Field Theory and Statistical Mechanics |
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292 | (2) |
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Quantization of the Electromagnetic Field |
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294 | (4) |
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Functional Quantization of Spinor Fields |
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298 | (8) |
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Symmetries in the Functional Formalism |
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306 | (9) |
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312 | (3) |
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Systematics of Renormalization |
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315 | (32) |
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Counting of Ultraviolet Divergences |
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315 | (8) |
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Renormalized Perturbation Theory |
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323 | (7) |
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Renormalization of Quantum Electrodynamics |
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330 | (5) |
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Renormalization Beyond the Leading Order |
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335 | (3) |
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338 | (9) |
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344 | (3) |
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Renormalization and Symmetry |
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347 | (46) |
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Spontaneous Symmetry Breaking |
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348 | (4) |
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Renormalization and Symmetry: An Explicit Example |
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352 | (12) |
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364 | (6) |
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Computation of the Effective Action |
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370 | (9) |
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The Effective Action as a Generating Functional |
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379 | (4) |
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Renormalization and Symmetry: General Analysis |
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383 | (10) |
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389 | (4) |
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The Renormalization Group |
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393 | (46) |
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Wilson's Approach to Renormalization Theory |
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394 | (12) |
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The Callan-Symanzik Equation |
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406 | (12) |
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Evolution of Coupling Constants |
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418 | (10) |
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Renormalization of Local Operators |
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428 | (4) |
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Evolution of Mass Parameters |
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432 | (7) |
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438 | (1) |
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Critical Exponents and Scalar Field Theory |
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439 | (34) |
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Theory of Critical Exponents |
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440 | (11) |
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Critical Behavior in Four Dimensions |
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451 | (3) |
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The Nonlinear Sigma Model |
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454 | (19) |
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466 | (3) |
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Final Project: The Coleman-Weinberg Potential |
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469 | (4) |
| Part III: Non-Abelian Gauge Theories |
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Invitation: The Parton Model of Hadron Structure |
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473 | (8) |
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Non-Abelian Gauge Invariance |
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481 | (24) |
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The Geometry of Gauge Invariance |
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482 | (4) |
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The Yang-Mills Lagrangian |
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486 | (5) |
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The Gauge-Invariant Wilson Loop |
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491 | (4) |
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Basic Facts About Lie Algebras |
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495 | (10) |
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502 | (3) |
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Quantization of Non-Abelian Gauge Theories |
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505 | (40) |
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Interactions of Non-Abelian Gauge Bosons |
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506 | (6) |
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The Faddeev-Popov Lagrangian |
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512 | (3) |
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515 | (2) |
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517 | (4) |
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One-Loop Divergences of Non-Abelian Gauge Theory |
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521 | (12) |
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Asymptotic Freedom: The Background Field Method |
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533 | (8) |
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Asymptotic Freedom: A Qualitative Explanation |
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541 | (4) |
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544 | (1) |
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545 | (54) |
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545 | (3) |
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e+e- Annihilation into Hadrons |
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548 | (7) |
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Deep Inelastic Scattering |
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555 | (8) |
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Hard-Scattering Processes in Hadron Collisions |
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563 | (11) |
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574 | (19) |
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593 | (6) |
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595 | (4) |
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Operator Products and Effective Vertices |
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599 | (52) |
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Renormalization of the Quark Mass Parameter |
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599 | (6) |
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QCD Renormalization of the Weak Interactions |
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605 | (7) |
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The Operator Product Expansion |
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612 | (3) |
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Operator Analysis of e+e- Annihilation |
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615 | (6) |
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Operator Analysis of Deep Inelastic Scattering |
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621 | (30) |
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647 | (4) |
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Perturbation Theory Anomalies |
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651 | (38) |
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The Axial Current in Two Dimensions |
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651 | (8) |
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The Axial Current in Four Dimensions |
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659 | (8) |
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Goldstone Bosons and Chiral Symmetries in QCD |
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667 | (9) |
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Chiral Anomalies and Chiral Gauge Theories |
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676 | (6) |
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Anomalous Breaking of Scale Invariance |
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682 | (7) |
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686 | (3) |
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Gauge Theories with Spontaneous Symmetry Breaking |
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689 | (42) |
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690 | (10) |
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The Glashow-Weinberg-Salam Theory of Weak Interactions |
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700 | (19) |
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Symmetries of the Theory of Quarks and Leptons |
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719 | (12) |
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728 | (3) |
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Quantization of Spontaneously Broken Gauge Theories |
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731 | (50) |
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732 | (11) |
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The Goldstone Boson Equivalence Theorem |
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743 | (15) |
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One-Loop Corrections in Weak-Interaction Gauge Theory |
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758 | (23) |
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773 | (2) |
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Final Project: Decays of the Higgs Boson |
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775 | (6) |
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Quantum Field Theory at the Frontier |
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781 | (20) |
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Strong Strong Interactions |
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782 | (4) |
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Grand Unification and its Paradoxes |
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786 | (5) |
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Exact Solutions in Quantum Field Theory |
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791 | (4) |
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795 | (3) |
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Toward an Ultimate Theory of Nature |
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798 | (3) |
| Appendix: Reference Formulae |
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801 | (10) |
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801 | (2) |
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A.2 Polarizations of External Particles |
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803 | (2) |
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805 | (1) |
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A.4 Loop Integrals and Dimensional Regularization |
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806 | (2) |
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A.5 Cross Sections and Decay Rates |
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808 | (1) |
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A.6 Physical Constants and Conversion Factors |
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809 | (2) |
| Bibliography |
|
811 | (6) |
| Index |
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817 | |
