| Foreword | 7 |
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| Preface | 9 |
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| Acknowledgements | 14 |
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| Contents | 15 |
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| Acronyms | 22 |
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| Notations and Conventions | 23 |
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| Latin Symbols | 25 |
| Greek and Calligraphic Symbols | 28 |
| Vectors | 30 |
| Part I Fundamentals of Particle Physics | 31 |
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| 1 Electroweak Interactions and Neutrinos | 32 |
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| 1.1 Neutrinos and Weak Interactions | 32 |
| 1.2 Fermi Theory of Nuclear Beta Decay | 33 |
| 1.3 Free Neutrinos: Inverse ?-Decay | 34 |
| 1.4 Parity Violation in ?-Decay | 36 |
| 1.5 Helicity of the Neutrino | 36 |
| 1.6 The Structure of the Electroweak Interaction | 37 |
| 1.6.1 Minkowski Space-Time and Lorentz Transformations | 37 |
| 1.6.2 Particles as Representations of Space-Time Symmetries | 44 |
| 1.6.3 The V--A Interaction | 53 |
| 1.7 Majorana Fermions | 54 |
| 1.8 Charged Pion and Muon Decay | 57 |
| 1.8.1 Muon Decay and Michel Parameter | 57 |
| 1.8.2 Branching Ratio of Pion Decay as a Signature of V--A Interactions | 58 |
| 1.9 Weak Neutral Currents, the GIM Model and Charm | 59 |
| 2 The Fundamental Gauge Interactions and Their Description | 65 |
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| 2.1 Introduction | 65 |
| 2.2 Interaction Rates, Amplitudes and Cross Sections | 67 |
| 2.2.1 Scattering Amplitudes, Partial Waves and Unitarity | 67 |
| 2.2.2 Amplitudes and Cross Sections | 72 |
| 2.3 Renormalizability | 77 |
| 2.4 Gauge Symmetries and Interactions | 80 |
| 2.4.1 The Action and Its Symmetries | 81 |
| 2.4.2 Canonical and Path Integral Quantization | 85 |
| 2.4.3 Gauge Interactions of Matter Fields | 89 |
| 2.4.4 Gauge Interactions and Gauge Fields | 91 |
| 2.4.5 Conformal Invariance and Conformal Transformations | 108 |
| 2.4.6 Gauge Symmetries and Quantization | 110 |
| 2.5 The Electromagnetic Interaction | 111 |
| 2.5.1 Standard Electrodynamics | 111 |
| 2.5.2 Extensions of Electrodynamics | 119 |
| 2.6 The Electroweak Interaction | 124 |
| 2.7 The Strong Interaction | 133 |
| 2.8 The Gravitational Interaction | 140 |
| 2.9 Limitations of the Standard Model | 153 |
| 2.10 Beyond the Standard Model | 154 |
| 2.10.1 Unification of Interactions and Grand Unified Theories (GUTs) | 154 |
| 2.10.2 Topological Defects and Non-topological Solitons | 156 |
| 2.10.3 Supersymmetric Extensions of the Standard Model | 165 |
| 2.10.4 Extra Dimensions | 171 |
| 2.10.5 Quantum Field Theory on Curved Space-Time and Quantum Gravity | 174 |
| 2.10.6 String Theory and Other Approaches | 179 |
| 2.11 About the Question of Fundamental Units | 183 |
| Feynman Diagrams and Feynman Rules | 184 |
| Fundamentals of Cosmology and Astrophysics | 193 |
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| 3 The Universe Between Today and First Light | 195 |
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| 3.1 Sources Powered by Nuclear Energy: Stars | 195 |
| 3.2 Sources Powered by Gravitational Energy: Black Holes and Accretion | 202 |
| 3.2.1 General Aspects | 202 |
| 3.2.2 The Hydrodynamics of Accretion Disks | 204 |
| 3.2.3 Schwarzschild Black Holes | 212 |
| 3.2.4 Kerr Black Holes | 216 |
| 3.2.5 Gravitation and Thermodynamics | 221 |
| 3.3 The Universe at Large Scales: Hubble's Law | 225 |
| 3.4 The Cosmological Principle and the Friedmann Equations | 228 |
| 3.5 The Formation of Structure | 239 |
| 3.6 Basics of Plasma Physics and Magnetohydrodynamics | 249 |
| 3.6.1 Unmagnetized Plasmas | 249 |
| 3.6.2 Magnetohydrodynamics of Non-helical and Helical Magnetic Fields | 257 |
| 3.6.3 Magnetic Dynamos | 274 |
| 3.6.4 Waves in a Magnetized Plasma | 277 |
| 3.6.5 Plasma Instabilities | 280 |
| 3.6.6 Magnetic Fields, Angular Momentum and Accretion Disks | 285 |
| 3.7 Gravitational Lensing | 290 |
| Discontinuities and Shocks | 302 |
| 4 The Early Universe Before First Light | 316 |
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| 4.1 Equilibrium Thermodynamics | 316 |
| 4.2 The Cosmic Microwave Background (CMB) | 322 |
| 4.3 Thermal Relics from the Early Universe: Neutrino and Dark Matter Freeze-Out | 334 |
| 4.4 Big Bang Nucleosynthesis (BBN) | 344 |
| 4.5 Phase Transitions and Their Relics | 348 |
| 4.6 Magnetohydrodynamics and Primordial Magnetic Fields | 359 |
| 4.6.1 Modeling Primordial Magnetic Fields | 360 |
| 4.6.2 Possible Role of Chiral Magnetic Effects | 367 |
| 4.6.3 Observational Constraints | 377 |
| 4.7 The Origin of Matter: Leptogenesis and Baryogenesis | 379 |
| 4.7.1 The Creation of Leptons and Baryons at the Electroweak Scale | 380 |
| 4.7.2 Leptogenesis and Baryogenesis Beyond the Standard Model | 385 |
| 4.8 Inflation and Density Perturbations | 393 |
| 4.9 Reheating | 415 |
| 4.10 Cosmology, Initial Conditions and the Arrow of Time | 418 |
| Part III High Energy Cosmic and Gamma-Rays | 424 |
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| 5 Detection Techniques and Experimental Results | 425 |
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| 5.1 Detection Techniques for High Energy Cosmic Rays | 425 |
| 5.1.1 Physics of Air Showers and Radiation in Media | 426 |
| 5.1.2 Detection from Space | 443 |
| 5.1.3 Detection from the Ground | 444 |
| 5.2 Ob
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