{"product_id":"quantum-field-theory-isbn-9780471496830","title":"Quantum Field Theory","description":"Following on from the successful first (1984) and revised (1993) editions, this extended and revised text is designed as a short and simple introduction to quantum field theory for final year physics students and for postgraduate students beginning research in theoretical and experimental particle physics.\u003cbr\u003e \u003cbr\u003e The three main objectives of the book are to:\u003cbr\u003e \u003cbr\u003e Explain the basic physics and formalism of quantum field theory\u003cbr\u003e \u003cbr\u003e To make the reader proficient in theory calculations using Feynman diagrams\u003cbr\u003e \u003cbr\u003e To introduce the reader to gauge theories, which play a central role in elementary particle physics.\u003cbr\u003e \u003cbr\u003e Thus, the first ten chapters deal with QED in the canonical formalism, and are little changed from the first edition. A brief introduction to gauge theories (Chapter 11) is then followed by two sections, which may be read independently of each other. They cover QCD and related topics (Chapters 12-15) and the unified electroweak theory (Chapters 16 - 19) respectively. Problems are provided at the end of each chapter.\u003cbr\u003e \u003cbr\u003e New to this edition:\u003cbr\u003e \u003cbr\u003e Five new chapters, giving an introduction to quantum chromodynamics and the methods used to understand it: in particular, path integrals and the renormalization group.\u003cbr\u003e \u003cbr\u003e The treatment of electroweak interactions has been revised and updated to take account of more recent experiments.Ein Klassiker, aktualisiert und modernisiert.\u003cbr\u003e Sorgfältig strukturiert - mathematische Herleitungen werden bei den Grundlagen beginnend eingeführt.\u003cbr\u003e Mit vielen Anwendungen und neuen Informationen zu Funktionen, Pfadintegralen und Eichfeldern sowie zur Renormierungsgruppe.\u003cbr\u003e Die Kapitel zur elektroschwachen Wechselwirkung wurden überarbeitet und erweitert. Enthalten sind jetzt auch Ausführungen zur elektroschwachen Wechselwirkung von Quarks und zu Majorana-Neutrinos. \u003cbr\u003e \u003cp\u003ePreface xi\u003c\/p\u003e \u003cp\u003eNotes xiii\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Photons and the Electromagnetic Field 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Particles and Fields 1\u003c\/p\u003e \u003cp\u003e1.2 The Electromagnetic Field in the Absence of Charges 2\u003c\/p\u003e \u003cp\u003e1.2.1 The classical field 2\u003c\/p\u003e \u003cp\u003e1.2.2 Harmonic oscillator 5\u003c\/p\u003e \u003cp\u003e1.2.3 The quantized radiation field 7\u003c\/p\u003e \u003cp\u003e1.3 The Electric Dipole Interaction 9\u003c\/p\u003e \u003cp\u003e1.4 The Electromagnetic Field in the Presence of Charges 14\u003c\/p\u003e \u003cp\u003e1.4.1 Classical electrodynamics 14\u003c\/p\u003e \u003cp\u003e1.4.2 Quantum electrodynamics 16\u003c\/p\u003e \u003cp\u003e1.4.3 Radiative transitions in atoms 17\u003c\/p\u003e \u003cp\u003e1.4.4 Thomson scattering 18\u003c\/p\u003e \u003cp\u003e1.5 Appendix: The Schrödinger, Heisenberg and Interaction Pictures 20\u003c\/p\u003e \u003cp\u003eProblems 22\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Lagrangian Field Theory 25\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Relativistic Notation 26\u003c\/p\u003e \u003cp\u003e2.2 Classical Lagrangian Field Theory 27\u003c\/p\u003e \u003cp\u003e2.3 Quantized Lagrangian Field Theory 30\u003c\/p\u003e \u003cp\u003e2.4 Symmetries and Conservation Laws 31\u003c\/p\u003e \u003cp\u003eProblems 37\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 The Klein–Gordon Field 39\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 The Real Klein–Gordon Field 39\u003c\/p\u003e \u003cp\u003e3.2 The Complex Klein–Gordon Field 43\u003c\/p\u003e \u003cp\u003e3.3 Covariant Commutation Relations 46\u003c\/p\u003e \u003cp\u003e3.4 The Meson Propagator 48\u003c\/p\u003e \u003cp\u003eProblems 53\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 The Dirac Field 55\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 The Number Representation for Fermions 55\u003c\/p\u003e \u003cp\u003e4.2 The Dirac Equation 57\u003c\/p\u003e \u003cp\u003e4.3 Second Quantization 61\u003c\/p\u003e \u003cp\u003e4.3.1 The spin-statistics theorem 65\u003c\/p\u003e \u003cp\u003e4.4 The Fermion Propagator 66\u003c\/p\u003e \u003cp\u003e4.5 The Electromagnetic Interaction and Gauge Invariance 70\u003c\/p\u003e \u003cp\u003eProblems 71\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Photons: Covariant Theory 73\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 The Classical Fields 73\u003c\/p\u003e \u003cp\u003e5.2 Covariant Quantization 77\u003c\/p\u003e \u003cp\u003e5.3 The Photon Propagator 81\u003c\/p\u003e \u003cp\u003eProblems 84\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 The S-Matrix Expansion 87\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Natural Dimensions and Units 88\u003c\/p\u003e \u003cp\u003e6.2 The S-Matrix Expansion 90\u003c\/p\u003e \u003cp\u003e6.3 Wick’s Theorem 94\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Feynman Diagrams and Rules in QED 99\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Feynman Diagrams in Configuration Space 100\u003c\/p\u003e \u003cp\u003e7.2 Feynman Diagrams in Momentum Space 110\u003c\/p\u003e \u003cp\u003e7.2.1 The first-order terms \u003ci\u003eS\u003c\/i\u003e\u003csup\u003e(1)\u003c\/sup\u003e 112\u003c\/p\u003e \u003cp\u003e7.2.2 Compton scattering 113\u003c\/p\u003e \u003cp\u003e7.2.3 Electron–electron scattering 116\u003c\/p\u003e \u003cp\u003e7.2.4 Closed loops 117\u003c\/p\u003e \u003cp\u003e7.3 Feynman Rules for QED 118\u003c\/p\u003e \u003cp\u003e7.4 Leptons 121\u003c\/p\u003e \u003cp\u003eProblems 124\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 QED Processes in Lowest Order 127\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 The Cross-Section 128\u003c\/p\u003e \u003cp\u003e8.2 Spin Sums 131\u003c\/p\u003e \u003cp\u003e8.3 Photon Polarization Sums 133\u003c\/p\u003e \u003cp\u003e8.4 Lepton Pair Production in (\u003ci\u003ee\u003c\/i\u003e\u003csup\u003e+\u003c\/sup\u003e e\u003csup\u003e-\u003c\/sup\u003e) Collisions 135\u003c\/p\u003e \u003cp\u003e8.5 Bhabha Scattering 139\u003c\/p\u003e \u003cp\u003e8.6 Compton Scattering 142\u003c\/p\u003e \u003cp\u003e8.7 Scattering by an External Field 147\u003c\/p\u003e \u003cp\u003e8.8 Bremsstrahlung 153\u003c\/p\u003e \u003cp\u003e8.9 The Infrared Divergence 155\u003c\/p\u003e \u003cp\u003eProblems 158\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Radiative Corrections 161\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 The Second-Order Radiative Corrections of QED 162\u003c\/p\u003e \u003cp\u003e9.2 The Photon Self-Energy 167\u003c\/p\u003e \u003cp\u003e9.3 The Electron Self-Energy 172\u003c\/p\u003e \u003cp\u003e9.4 External Line Renormalization 176\u003c\/p\u003e \u003cp\u003e9.5 The Vertex Modification 178\u003c\/p\u003e \u003cp\u003e9.6 Applications 183\u003c\/p\u003e \u003cp\u003e9.6.1 The anomalous magnetic moments 183\u003c\/p\u003e \u003cp\u003e9.6.2 The Lamb shift 187\u003c\/p\u003e \u003cp\u003e9.7 The Infrared Divergence 191\u003c\/p\u003e \u003cp\u003e9.8 Higher-Order Radiative Corrections 193\u003c\/p\u003e \u003cp\u003e9.9 Renormalizability 198\u003c\/p\u003e \u003cp\u003eProblems 200\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Regularization 203\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Mathematical Preliminaries 204\u003c\/p\u003e \u003cp\u003e10.1.1 Some standard integrals 204\u003c\/p\u003e \u003cp\u003e10.1.2 Feynman parameterization 205\u003c\/p\u003e \u003cp\u003e10.2 Cut-Off Regularization: The Electron Mass Shift 206\u003c\/p\u003e \u003cp\u003e10.3 Dimensional Regularization 208\u003c\/p\u003e \u003cp\u003e10.3.1 Introduction 208\u003c\/p\u003e \u003cp\u003e10.3.2 General results 210\u003c\/p\u003e \u003cp\u003e10.4 Vacuum Polarization 211\u003c\/p\u003e \u003cp\u003e10.5 The Anomalous Magnetic Moment 214\u003c\/p\u003e \u003cp\u003eProblems 217\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Gauge Theories 219\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 The Simplest Gauge Theory: QED 220\u003c\/p\u003e \u003cp\u003e11.2 Quantum Chromodynamics 222\u003c\/p\u003e \u003cp\u003e11.2.1 Colour and confinement 222\u003c\/p\u003e \u003cp\u003e11.2.2 Global phase invariance and colour conservation 225\u003c\/p\u003e \u003cp\u003e11.2.3 SU(3) gauge invariance 227\u003c\/p\u003e \u003cp\u003e11.2.4 Quantum chromodynamics 229\u003c\/p\u003e \u003cp\u003e11.3 Alternative Interactions? 230\u003c\/p\u003e \u003cp\u003e11.3.1 Non-minimal interactions 230\u003c\/p\u003e \u003cp\u003e11.3.2 Renormalizability 233\u003c\/p\u003e \u003cp\u003e11.4 Appendix: Two Gauge Transformation Results 235\u003c\/p\u003e \u003cp\u003e11.4.1 The transformation law (11.26b) 236\u003c\/p\u003e \u003cp\u003e11.4.2 The SU(3) gauge invariance of Eq. (11.34) 237\u003c\/p\u003e \u003cp\u003eProblems 238\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Field Theory Methods 241\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Green Functions 241\u003c\/p\u003e \u003cp\u003e12.2 Feynman Diagrams and Feynman Rules 246\u003c\/p\u003e \u003cp\u003e12.2.1 The perturbation expansion 246\u003c\/p\u003e \u003cp\u003e12.2.2 The vacuum amplitude 248\u003c\/p\u003e \u003cp\u003e12.2.3 The photon propagator 249\u003c\/p\u003e \u003cp\u003e12.2.4 Connected Green functions 252\u003c\/p\u003e \u003cp\u003e12.3 Relation to S-Matrix Elements 254\u003c\/p\u003e \u003cp\u003e12.3.1 Crossing 255\u003c\/p\u003e \u003cp\u003e12.4 Functionals and Grassmann Fields 256\u003c\/p\u003e \u003cp\u003e12.4.1 Functionals 257\u003c\/p\u003e \u003cp\u003e12.4.2 Grassmann algebras and Grassmann fields 259\u003c\/p\u003e \u003cp\u003e12.5 The Generating Functional 263\u003c\/p\u003e \u003cp\u003e12.5.1 The free-field case 267\u003c\/p\u003e \u003cp\u003e12.5.2 The perturbation expansion 270\u003c\/p\u003e \u003cp\u003eProblems 272\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Path Integrals 275\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Functional Integration 275\u003c\/p\u003e \u003cp\u003e13.1.1 Classical fields 276\u003c\/p\u003e \u003cp\u003e13.1.2 Grassmann generators 281\u003c\/p\u003e \u003cp\u003e13.1.3 Grassmann fields 283\u003c\/p\u003e \u003cp\u003e13.2 Path Integrals 285\u003c\/p\u003e \u003cp\u003e13.2.1 The generating functional 286\u003c\/p\u003e \u003cp\u003e13.2.2 Free and interacting fields 287\u003c\/p\u003e \u003cp\u003e13.2.3 The free electromagnetic field 289\u003c\/p\u003e \u003cp\u003e13.2.4 The free spinor fields 291\u003c\/p\u003e \u003cp\u003e13.3 Perturbation Theory 292\u003c\/p\u003e \u003cp\u003e13.3.1 Wick’s theorem 292\u003c\/p\u003e \u003cp\u003e13.3.2 Interactions 294\u003c\/p\u003e \u003cp\u003e13.4 Gauge Independent Quantization? 297\u003c\/p\u003e \u003cp\u003eProblems 298\u003c\/p\u003e \u003cp\u003e\u003cb\u003e14 Quantum Chromodynamics 299\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14.1 Gluon Fields 299\u003c\/p\u003e \u003cp\u003e14.1.1 The generating functional 300\u003c\/p\u003e \u003cp\u003e14.1.2 A mathematical analogy 301\u003c\/p\u003e \u003cp\u003e14.1.3 The Faddeev–Popov Method 303\u003c\/p\u003e \u003cp\u003e14.1.4 Gauge fixing and ghosts 304\u003c\/p\u003e \u003cp\u003e14.1.5 The electromagnetic field revisited 306\u003c\/p\u003e \u003cp\u003e14.2 Including Quarks 307\u003c\/p\u003e \u003cp\u003e14.2.1 The QCD Lagrangian 307\u003c\/p\u003e \u003cp\u003e14.2.2 The generating functional 309\u003c\/p\u003e \u003cp\u003e14.2.3 Free fields 310\u003c\/p\u003e \u003cp\u003e14.3 Perturbation Theory 312\u003c\/p\u003e \u003cp\u003e14.3.1 Wick’s theorem and propagators 312\u003c\/p\u003e \u003cp\u003e14.3.2 The perturbation expansion 313\u003c\/p\u003e \u003cp\u003e14.3.3 The vertex factors 313\u003c\/p\u003e \u003cp\u003e14.4 Feynman Rules for QCD 318\u003c\/p\u003e \u003cp\u003e14.5 Renormalizability of QCD 321\u003c\/p\u003e \u003cp\u003eProblems 323\u003c\/p\u003e \u003cp\u003e\u003cb\u003e15 Asymptotic Freedom 325\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e15.1 Electron–Positron Annihilation 325\u003c\/p\u003e \u003cp\u003e15.1.1 Two-jet events 326\u003c\/p\u003e \u003cp\u003e15.1.2 Three-jet events 328\u003c\/p\u003e \u003cp\u003e15.2 The Renormalization Scheme 330\u003c\/p\u003e \u003cp\u003e15.2.1 The electron propagator 331\u003c\/p\u003e \u003cp\u003e15.2.2 The photon propagator 333\u003c\/p\u003e \u003cp\u003e15.2.3 Charge renormalization 335\u003c\/p\u003e \u003cp\u003e15.3 The Renormalization Group 336\u003c\/p\u003e \u003cp\u003e15.3.1 The renormalization group equations 337\u003c\/p\u003e \u003cp\u003e15.3.2 Scale transformations 339\u003c\/p\u003e \u003cp\u003e15.3.3 The running charge 341\u003c\/p\u003e \u003cp\u003e15.4 The Strong Coupling Constant 343\u003c\/p\u003e \u003cp\u003e15.4.1 Colour factors 344\u003c\/p\u003e \u003cp\u003e15.4.2 Null diagrams 345\u003c\/p\u003e \u003cp\u003e15.4.3 Renormalization of the coupling constant 346\u003c\/p\u003e \u003cp\u003e15.4.4 The running coupling 351\u003c\/p\u003e \u003cp\u003e15.5 Applications 352\u003c\/p\u003e \u003cp\u003e15.6 Appendix: Some Loop Diagrams in QCD 357\u003c\/p\u003e \u003cp\u003e15.6.1 The gluon self-energy graphs 357\u003c\/p\u003e \u003cp\u003e15.6.2 The quark–gluon vertex corrections 360\u003c\/p\u003e \u003cp\u003eProblems 362\u003c\/p\u003e \u003cp\u003e\u003cb\u003e16 Weak Interactions 363\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e16.1 Introduction 363\u003c\/p\u003e \u003cp\u003e16.2 Leptonic Weak Interactions 365\u003c\/p\u003e \u003cp\u003e16.3 The Free Vector Boson Field 369\u003c\/p\u003e \u003cp\u003e16.4 The Feynman Rules for the IVB Theory 371\u003c\/p\u003e \u003cp\u003e16.5 Decay Rates 372\u003c\/p\u003e \u003cp\u003e16.6 Applications of the IVB Theory 373\u003c\/p\u003e \u003cp\u003e16.6.1 Muon decay 373\u003c\/p\u003e \u003cp\u003e16.6.2 Neutrino scattering 379\u003c\/p\u003e \u003cp\u003e16.6.3 The leptonic decay of the W boson 380\u003c\/p\u003e \u003cp\u003e16.7 Neutrino Masses 381\u003c\/p\u003e \u003cp\u003e16.7.1 Neutrino oscillations 381\u003c\/p\u003e \u003cp\u003e16.7.2 Dirac or Majorana neutrinos? 383\u003c\/p\u003e \u003cp\u003e16.8 Difficulties with the IVB Theory 385\u003c\/p\u003e \u003cp\u003eProblems 387\u003c\/p\u003e \u003cp\u003e\u003cb\u003e17 A Gauge Theory of Weak Interactions 389\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e17.1 QED Revisited 389\u003c\/p\u003e \u003cp\u003e17.2 Global Phase Transformations and Conserved Weak Currents 391\u003c\/p\u003e \u003cp\u003e17.3 The Gauge-Invariant Electroweak Interaction 395\u003c\/p\u003e \u003cp\u003e17.4 Properties of the Gauge Bosons 399\u003c\/p\u003e \u003cp\u003e17.5 Lepton and Gauge Boson Masses 401\u003c\/p\u003e \u003cp\u003e\u003cb\u003e18 Spontaneous Symmetry Breaking 403\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e18.1 The Goldstone Model 404\u003c\/p\u003e \u003cp\u003e18.2 The Higgs Model 408\u003c\/p\u003e \u003cp\u003e18.3 The Standard Electroweak Theory 412\u003c\/p\u003e \u003cp\u003e\u003cb\u003e19 The Standard Electroweak Theory 419\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e19.1 The Lagrangian Density in the Unitary Gauge 420\u003c\/p\u003e \u003cp\u003e19.2 Feynman Rules 424\u003c\/p\u003e \u003cp\u003e19.3 Elastic Neutrino–Electron Scattering 432\u003c\/p\u003e \u003cp\u003e19.4 Electron–Positron Annihilation 435\u003c\/p\u003e \u003cp\u003e19.5 The Higgs Boson 442\u003c\/p\u003e \u003cp\u003e19.5.1 Higgs boson decays 444\u003c\/p\u003e \u003cp\u003e19.5.2 Higgs boson searches 446\u003c\/p\u003e \u003cp\u003eProblems 448\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix A The Dirac Equation 451\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA.1 The Dirac Equation 451\u003c\/p\u003e \u003cp\u003eA.2 Contraction Identities 453\u003c\/p\u003e \u003cp\u003eA.3 Traces 453\u003c\/p\u003e \u003cp\u003eA.4 Plane Wave Solutions 455\u003c\/p\u003e \u003cp\u003eA.5 Energy Projection Operators 456\u003c\/p\u003e \u003cp\u003eA.6 Helicity and Spin Projection Operators 456\u003c\/p\u003e \u003cp\u003eA.7 Relativistic Properties 458\u003c\/p\u003e \u003cp\u003eA.8 Particular Representations of the -Matrices 460\u003c\/p\u003e \u003cp\u003eProblems 462\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix B Feynman Rules and Formulae for Perturbation Theory 463\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eIndex 473\u003c\/p\u003e  \u003cp\u003eFranz Mandl is the author of Quantum Field Theory, 2nd Edition, published by Wiley. Graham Shaw is the author of Quantum Field Theory, 2nd Edition, published by Wiley.  Following on from the successful first (1984) and revised (1993) editions, this extended and revised text is designed as a short and simple introduction to quantum field theory for final year physics students and for postgraduate students beginning research in theoretical and experimental particle physics.\u003cbr\u003e \u003cbr\u003e \u003cbr\u003e The three main objectives of the book are to:\u003cbr\u003e \u003cbr\u003e * Explain the basic physics and formalism of quantum field theory\u003cbr\u003e * To make the reader proficient in theory calculations using Feynman diagrams\u003cbr\u003e * To introduce the reader to gauge theories, which play a central role in elementary particle physics.\u003cbr\u003e \u003cbr\u003e \u003cbr\u003e Thus, the first ten chapters deal with QED in the canonical formalism, and are little changed from the first edition. A brief introduction to gauge theories (Chapter 11) is then followed by two sections, which may be read independently of each other. They cover QCD and related topics (Chapters 12-15) and the unified electroweak theory (Chapters 16 - 19) respectively. Problems are provided at the end of each chapter.\u003cbr\u003e \u003cbr\u003e \u003cbr\u003e New to this edition:\u003cbr\u003e * Five new chapters, giving an introduction to quantum chromodynamics and the methods used to understand it: in particular, path integrals and the renormalization group.\u003cbr\u003e * The treatment of electroweak interactions has been revised and updated to take account of more recent experiments.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47989898248421,"sku":"NP9780471496830","price":158.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780471496830.jpg?v=1761785838","url":"https:\/\/k12savings.com\/es\/products\/quantum-field-theory-isbn-9780471496830","provider":"K12savings","version":"1.0","type":"link"}