Details

Introduction to Elementary Particles


Introduction to Elementary Particles


2nd Revised Edition

von: David Griffiths

70,99 €

Verlag: Wiley-VCH
Format: PDF
Veröffentl.: 10.12.2020
ISBN/EAN: 9783527834648
Sprache: englisch
Anzahl Seiten: 470

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Beschreibungen

In the second, revised edition of a well-established textbook, the author strikes a balance between quantitative rigor and intuitive understanding, using a lively, informal style. The first chapter provides a detailed historical introduction to the subject, while subsequent chapters offer a quantitative presentation of the Standard Model. A simplified introduction to the Feynman rules, based on a "toy" model, helps readers learn the calculational techniques without the complications of spin. It is followed by accessible treatments of quantum electrodynamics, the strong and weak interactions, and gauge theories. New chapters address neutrino oscillations and prospects for physics beyond the Standard Model. The book contains a number of worked examples and many end-of-chapter problems. A complete solution manual is available for instructors.
<p>Preface to the First Edition ix</p> <p>Preface to the Second Edition xi</p> <p>Formulas and Constants xiii</p> <p>Introduction 1</p> <p><b>1 Historical Introduction to the Elementary Particles </b><b>13</b></p> <p>1.1 The Classical ERA (1897–1932) 13</p> <p>1.2 The Photon (1900–1924) 15</p> <p>1.3 Mesons (1934–1947) 18</p> <p>1.4 Antiparticles (1930–1956) 20</p> <p>1.5 Neutrinos (1930–1962) 23</p> <p>1.6 Strange Particles (1947–1960) 30</p> <p>1.7 The Eightfold Way (1961–1964) 35</p> <p>1.8 The Quark Model (1964) 37</p> <p>1.9 The November Revolution and Its Aftermath (1974–1983 and 1995) 44</p> <p>1.10 Intermediate Vector Bosons (1983) 47</p> <p>1.11 The Standard Model (1978–?) 49</p> <p><b>2 Elementary Particle Dynamics </b><b>59</b></p> <p>2.1 The Four Forces 59</p> <p>2.2 Quantum Electrodynamics (QED) 60</p> <p>2.3 Quantum Chromodynamics (QCD) 66</p> <p>2.4 Weak Interactions 71</p> <p>2.4.1 Neutral 72</p> <p>2.4.2 Charged 74</p> <p>2.4.2.1 Leptons 74</p> <p>2.4.2.2 Quarks 75</p> <p>2.4.3 Weak and Electromagnetic Couplings of W and Z 78</p> <p>2.5 Decays and Conservation Laws 79</p> <p>2.6 Unification Schemes 84</p> <p><b>3 Relativistic Kinematics </b><b>89</b></p> <p>3.1 Lorentz Transformations 89</p> <p>3.2 Four-vectors 92</p> <p>3.3 Energy and Momentum 96</p> <p>3.4 Collisions 100</p> <p>3.4.1 Classical Collisions 100</p> <p>3.4.2 Relativistic Collisions 101</p> <p>3.5 Examples and Applications 102</p> <p><b>4 Symmetries </b><b>115</b></p> <p>4.1 Symmetries, Groups, and Conservation Laws 115</p> <p>4.2 Angular Momentum 120</p> <p>4.2.1 Addition of Angular Momenta 122</p> <p>4.2.2 Spin 1/2 125</p> <p>4.3 Flavor Symmetries 129</p> <p>4.4 Discrete Symmetries 136</p> <p>4.4.1 Parity 136</p> <p>4.4.2 Charge Conjugation 142</p> <p>4.4.3 CP 144</p> <p>4.4.3.1 Neutral Kaons 145</p> <p>4.4.3.2 CP Violation 147</p> <p>4.4.4 Time Reversal and the TCP Theorem 149</p> <p><b>5 Bound States </b><b>159</b></p> <p>5.1 The Schrödinger Equation 159</p> <p>5.2 Hydrogen 162</p> <p>5.2.1 Fine Structure 165</p> <p>5.2.2 The Lamb Shift 166</p> <p>5.2.3 Hyperfine Splitting 167</p> <p>5.3 Positronium 169</p> <p>5.4 Quarkonium 171</p> <p>5.4.1 Charmonium 174</p> <p>5.4.2 Bottomonium 175</p> <p>5.5 Light Quark Mesons 176</p> <p>5.6 Baryons 180</p> <p>5.6.1 Baryon Wave Functions 181</p> <p>5.6.2 Magnetic Moments 189</p> <p>5.6.3 Masses 191</p> <p><b>6 The Feynman Calculus </b><b>197</b></p> <p>6.1 Decays and Scattering 197</p> <p>6.1.1 Decay Rates 197</p> <p>6.1.2 Cross Sections 199</p> <p>6.2 The Golden Rule 203</p> <p>6.2.1 Golden Rule for Decays 204</p> <p>6.2.1.1 Two-particle Decays 206</p> <p>6.2.2 Golden Rule for Scattering 208</p> <p>6.2.2.1 Two-body Scattering in the CM Frame 209</p> <p>6.3 Feynman Rules for a Toy Theory 211</p> <p>6.3.1 Lifetime of the A 214</p> <p>6.3.2 A + A → B + B Scattering 215</p> <p>6.3.3 Higher-order Diagrams 217</p> <p><b>7 Quantum Electrodynamics </b><b>225</b></p> <p>7.1 The Dirac Equation 225</p> <p>7.2 Solutions to the Dirac Equation 229</p> <p>7.3 Bilinear Covariants 235</p> <p>7.4 The Photon 238</p> <p>7.5 The Feynman Rules for QED 241</p> <p>7.6 Examples 245</p> <p>7.7 Casimir’s Trick 249</p> <p>7.8 Cross Sections and Lifetimes 254</p> <p>7.9 Renormalization 262</p> <p><b>8 Electrodynamics and Chromodynamics of Quarks </b><b>275</b></p> <p>8.1 Hadron Production in e<sup>+</sup>e<sup>−</sup> Collisions 275</p> <p>8.2 Elastic Electron–Proton Scattering 279</p> <p>8.3 Feynman Rules For Chromodynamics 283</p> <p>8.4 Color Factors 289</p> <p>8.4.1 Quark and Antiquark 289</p> <p>8.4.2 Quark and Quark 292</p> <p>8.5 Pair Annihilation in QCD 294</p> <p>8.6 Asymptotic Freedom 298</p> <p><b>9 Weak Interactions </b><b>307</b></p> <p>9.1 Charged Leptonic Weak Interactions 307</p> <p>9.2 Decay of the Muon 310</p> <p>9.3 Decay of the Neutron 315</p> <p>9.4 Decay of the Pion 321</p> <p>9.5 Charged Weak Interactions of Quarks 324</p> <p>9.6 Neutral Weak Interactions 329</p> <p>9.7 Electroweak Unification 338</p> <p>9.7.1 Chiral Fermion States 338</p> <p>9.7.2 Weak Isospin and Hypercharge 342</p> <p>9.7.3 Electroweak Mixing 345</p> <p><b>10 Gauge Theories </b><b>353</b></p> <p>10.1 Lagrangian Formulation of Classical Particle Mechanics 353</p> <p>10.2 Lagrangians in Relativistic Field Theory 354</p> <p>10.3 Local Gauge Invariance 358</p> <p>10.4 Yang–Mills Theory 361</p> <p>10.5 Chromodynamics 366</p> <p>10.6 Feynman Rules 369</p> <p>10.7 The Mass Term 372</p> <p>10.8 Spontaneous Symmetry-breaking 375</p> <p>10.9 The Higgs Mechanism 378</p> <p><b>11 Neutrino Oscillations </b><b>387</b></p> <p>11.1 The Solar Neutrino Problem 387</p> <p>11.2 Oscillations 390</p> <p>11.3 Confirmation 392</p> <p>11.4 Neutrino Masses 395</p> <p>11.5 The Mixing Matrix 397</p> <p><b>12 Afterword: What’s Next? </b><b>401</b></p> <p>12.1 The Higgs Boson 401</p> <p>12.2 Grand Unification 405</p> <p>12.3 Matter/Antimatter Asymmetry 409</p> <p>12.4 Supersymmetry, Strings, Extra Dimensions 411</p> <p>12.4.1 Supersymmetry 411</p> <p>12.4.2 Strings 413</p> <p>12.5 Dark Matter/Dark Energy 414</p> <p>12.5.1 Dark Matter 414</p> <p>12.5.2 Dark Energy 416</p> <p>12.6 Conclusion 417</p> <p><b>A The Dirac Delta Function </b><b>423</b></p> <p><b>B Decay Rates and Cross Sections </b><b>429</b></p> <p>B.1 Decays 429</p> <p>B.1.1 Two-body Decays 429</p> <p>B.2 Cross Sections 430</p> <p>B.2.1 Two-body Scattering 430</p> <p><b>C Pauli and Dirac Matrices </b><b>433</b></p> <p>C.1 Pauli Matrices 433</p> <p>C.2 Dirac Matrices 434</p> <p><b>D Feynman Rules (Tree Level) </b><b>437</b></p> <p>D.1 External Lines 437</p> <p>D.2 Propagators 437</p> <p>D.3 Vertex Factors 438</p> <p>Index 441</p>
?I?d recommend this book to anyone in the field and anyone lecturing in it. It?s wonderful. Reading any section will always yield insights, and you can?t go wrong with Griffiths as a guide.? ( <i>Times Higher Education Supplement</i>, December 2009) <p>?A clearly written textbook balancing intuitive understanding and mathematical rigour, emphasizing elementary particle theory.? (<i>Reviews</i>, May 2009)</p>
<p><b><i>David Griffiths</i></b><i> is Professor of Physics at the Reed College in Portland, Oregon. After obtaining his PhD in elementary particle theory at Harvard, he taught at several colleges and universities before joining the faculty at Reed in 1978. He specializes in classical electrodynamics and quantum mechanics as well as elementary particles, and has written textbooks on all three subjects.</i>
<p>In the second, revised edition of a well-established textbook, the author strikes a balance between quantitative rigor and intuitive understanding, using a lively, informal style. The first chapter provides a detailed historical introduction to the subject, while subsequent chapters offer a quantitative presentation of the Standard Model. A simplified introduction to the Feynman rules, based on a "toy" model, helps readers learn the calculational techniques without the complications of spin. It is followed by accessible treatments of quantum electrodynamics, the strong and weak interactions, and gauge theories. New chapters address neutrino oscillations and prospects for physics beyond the Standard Model. The book contains a number of worked examples and many end-of-chapter problems. A complete solution manual is available for instructors. <ul> <li>Revised edition of a well-established text on elementary particle physics</li> <li>With a number of worked examples and many end-of-chapter problems</li> <li>Helps the student to master the Feynman rules</li> <li>Solution manual available for instructors</li> </ul>

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