| Preface (for the 21st-century Edition) |
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| Preface (for the 1st Edition) |
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| Foreword |
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Chapter 0 We Live in the Quantum 4-Dimensional Minkowski Space-Time |
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1 | (15) |
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0.1 The Point in the Quantum Sense |
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0.2 The Standard Model of the 20th Century |
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0.3 From Building Blocks of Matter to the Smallest Units of Matter |
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0.4 The Standard Model of All Centuries |
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0.6 The Origin of Fields (Point-Like Particles) |
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0.7 A Few Words about Gravity |
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Part A Relativistic Quantum Mechanics |
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16 | (25) |
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1 The Axioms Leading to Quantum Fields |
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3 The Concepts Developed in the 20th Century |
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5 Relativistic Quantum Mechanics |
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6 The Declaration; Appendix: Introduction on the Curved Space-Time |
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Chapter 2 The Dirac Theory for Free Electrons |
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41 | (28) |
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2.1 Dirac's Relativistic Equation |
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2.2 Solution of Dirac's Equation for a Free Electron |
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2.3 The Early Puzzles in Terms of Negative-Energy States |
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2.5 Foldy-Wouthuysen Representation |
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Chapter 3 γμ-Matrices; Helicity; Charge Conjugation |
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69 | (20) |
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3.1 Properties of theγμ Matrices |
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3.2 Helicity and Neutrinos |
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3.4 Dirac Equation in Majorana Representation |
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Chapter 4 Transformations of the Dirac Equation |
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89 | (18) |
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4.1 Unitary Transformations |
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4.2 Gauge Transformations |
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4.3 Lorentz Transformations |
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4.4 Space Inversion, Charge Conjugation, and Time Reversal |
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4.5 The Transformation Matrix S |
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Chapter 5 The Dirac Electron in an Electromagnetic Field |
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107 | (24) |
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5.1 Dirac Equations in Second-Order Form |
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5.2 Dirac Equation: Approximate, Iterated Form |
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5.3 Hydrogenic Atoms in Dirac's Theory - Approximate Solution |
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5.4 Hydrogenic Atoms in Dirac's Theory - Exact Solution |
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5.5 Dirac Equation and Many-Body Features |
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5.6 "Extra Moments" to the Dirac Equation? |
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Part B Introduction to Quantum Field Theory |
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Chapter 6 Classical Fields |
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131 | (27) |
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6.2 Classical Field Equation |
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6.4 The Klein-Gordon Field in Lagrangian Form |
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6.5 The Electromagnetic Field in Lagrangian Form |
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6.6 The Dirac Field in Lagrangian Form; Appendix: Electromagnetic Fields |
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Chapter 7 Many-Body Systems |
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158 | (20) |
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7.2 Symmetric and Antisymmetric Wave Functions for Fermions and Bosons |
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7.3 Fock Representation: Creation and Annihilation Operators |
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7.4 Neutrino Halos in Our Universe |
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7.5 Black Holes do not Exist in Our Universe |
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Chapter 8 Quantization of Free Fields |
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178 | (34) |
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8.1 Klein-Gordon, Real (Pseudo) Scalar Field φ(xμ) |
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8.2 Klein-Gordon Complex, Scalar Field |
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8.3 Electromagnetic Fields |
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8.4 Dirac Electron-Positron Field |
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8.5 Dirac's Theory of Emission and Absorption of Radiation |
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Appendix: Green's Functions A and D |
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Chapter 9 Quantum Electrodynamics I: S-Matrix Elements |
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212 | (20) |
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9.1 The Evolution Operator and the S-Matrix |
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9.2 S-Matrix Elements and Feynman Rules |
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9.3 Calculation of Cross Sections |
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Chapter 10 Quantum Electrodynamics II: Renormalization |
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232 | (25) |
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10.1 Pauli-Villars Regularization |
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10.2 Dimensional Regularization |
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10.3 Introduction to Renormalization; Appendix: Some Useful Formulae for Dimensional Regularization |
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Part C The Standard Model |
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Chapter 11 Symmetries, Transformations, and Invariants |
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257 | (36) |
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11.1 SU(2) Symmetries in Particle Physics |
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11.2 Flavor SU(3) Symmetry: Isospin and Strangeness |
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11.3 Additional Symmetries in Particle Physics; Appendix: Potentials and Phase in Quantum Mechanics |
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Chapter 12 Quantum Chromodynamics |
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293 | (23) |
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12.1 QCD is an SU(3) Gauge Theory |
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12.2 QCD is Asymptotically Free |
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Appendix A Method of Path Integrals |
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Appendix B Method of Lattice Gauge Fields |
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Chapter 13 The Glashow-Salam-Weinberg Electroweak Theory |
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316 | (21) |
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13.1 Higgs Mechanism in an SU(2) × U(1) Gauge Theory |
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13.2 The SU(2) × U(1) Electroweak Theory with Two Generations of Fermions |
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13.3 Weak Interactions at Low Energies; Appendix: Feynman Rules in the Gauge |
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Chapter 14 Experimental Tests: The Standard Model of the 20th Century |
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337 | (22) |
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14.1 Quantum Chromodynamics |
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14.2 The Glashow-Salam-Weinberg SU(2) × U(1) Electroweak Theory |
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Chapter 15 The Standard Model |
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359 | (20) |
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15.3 Leptons: Point-Like Dirac Particles |
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15.4 The Standard Model of All Centuries |
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Chapter 16 Neutrinos in the Cosmos |
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379 | (12) |
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16.2 The Standard Model of All Centuries |
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16.3 v(Solar) + v(CB; kvF) → e- + e+ as the Evidence |
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16.4 Invisible Neutrino Halos and Black Holes |
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| Subject Index |
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391 | (8) |
| Name Index |
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399 | |
Lisainfo e-raamatute kohta