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基本説明
定番テキスト、７年振りの改訂版。
The most accessible and comprehensive introduction to this profound and deeply fascinating area of theoretical physics. Now in this fully revised and expanded edition, A. Zee covers the latest advances while providing a solid conceptual foundation for students to build on, making this the most up-to-date and modern textbook on quantum field theory available. This expanded edition features several additional chapters, as well as an entirely new section describing recent developments in quantum field theory such as gravitational waves, the helicity spinor formalism, on-shell gluon scattering, recursion relations for amplitudes with complex momenta, and the hidden connection between Yang-Mills theory and Einstein gravity. Zee also provides added exercises, explanations, and examples, as well as detailed appendices, solutions to selected exercises, and suggestions for further reading.
Full Description
Since it was first published, Quantum Field Theory in a Nutshell has quickly established itself as the most accessible and comprehensive introduction to this profound and deeply fascinating area of theoretical physics. Now in this fully revised and expanded edition, A. Zee covers the latest advances while providing a solid conceptual foundation for students to build on, making this the most up-to-date and modern textbook on quantum field theory available. This expanded edition features several additional chapters, as well as an entirely new section describing recent developments in quantum field theory such as gravitational waves, the helicity spinor formalism, on-shell gluon scattering, recursion relations for amplitudes with complex momenta, and the hidden connection between Yang-Mills theory and Einstein gravity. Zee also provides added exercises, explanations, and examples, as well as detailed appendices, solutions to selected exercises, and suggestions for further reading.
* The most accessible and comprehensive introductory textbook available * Features a fully revised, updated, and expanded text * Covers the latest exciting advances in the field * Includes new exercises * Offers a one-of-a-kind resource for students and researchers Leading universities that have adopted this book include: * Arizona State University * Boston University * Brandeis University * Brown University * California Institute of Technology * Carnegie Mellon * College of William & Mary * Cornell * Harvard University * Massachusetts Institute of Technology * Northwestern University * Ohio State University * Princeton University * Purdue University - Main Campus * Rensselaer Polytechnic Institute * Rutgers University - New Brunswick * Stanford University * University of California - Berkeley * University of Central Florida * University of Chicago * University of Michigan * University of Montreal * University of Notre Dame * Vanderbilt University * Virginia Tech University
Contents
Preface xi Convention, Notation, and Units xv PART I: MOTIVATION AND FOUNDATION I.1 Who Needs It? 3 I.2 Path Integral Formulation of Quantum Physics 7 I.3 From Mattress to Field 16 I.4 From Field to Particle to Force 24 I.5 Coulomb and Newton: Repulsion and Attraction 30 I.6 Inverse Square Law and the Floating 3-Brane 38 I.7 Feynman Diagrams 41 I.8 Quantizing Canonically and Disturbing the Vacuum.61 I.9 Symmetry 70 I.10 Field Theory in Curved Spacetime 76 I.11 Field Theory Redux 84 PART II: DIRAC AND THE SPINOR II.1 The Dirac Equation 89 II.2 Quantizing the Dirac Field 103 II.3 Lorentz Group and Weyl Spinors 111 II.4 Spin-Statistics Connection 117 II.5 Vacuum Energy, Grassmann Integrals, and Feynman Diagrams for Fermions 121 II.6 Electron Scattering and Gauge Invariance130 II.7 Diagrammatic Proof of Gauge Invariance135 PART III: RENORMALIZATION AND GAUGE INVARIANCE III.1 Cutting Off Our Ignorance 145 III.2 Renormalizable versus Nonrenormalizable154 III.3 Counterterms and Physical Perturbation Theory 158 III.4 Gauge Invariance: A Photon Can Find No Rest 167 III.5 Field Theory without Relativity 172 III.6 The Magnetic Moment of the Electron 177 III.7 Polarizing the Vacuum and Renormalizing the Charge.183 PART IV: SYMMETRY AND SYMMETRY BREAKING IV.1 Symmetry Breaking 193 IV.2 The Pion as a Nambu-Goldstone Boson 202 IV.3 Effective Potential 208 IV.4 Magnetic Monopole 217 IV.5 Nonabelian Gauge Theory 226 IV.6 The Anderson-Higgs Mechanism 236 IV.7 Chiral Anomaly 243 PART V: FIELD THEORY AND COLLECTIVE PHENOMENA V.1 Superfluids 257 V.2 Euclid, Boltzmann, Hawking, and Field Theory at Finite Temperature 261 V.3 Landau-Ginzburg Theory of Critical Phenomena 267 V.4 Superconductivity 270 V.5 Peierls Instability 273 V.6 Solitons 277 V.7 Vortices, Monopoles, and Instantons 282 PART VI: FIELD THEORY AND CONDENSED MATTER VI.1 Fractional Statistics, Chern-Simons Term, and Topological Field Theory 293 VI.2 Quantum Hall Fluids 300 VI.3 Duality 309 VI.4 The ? Models as Effective Field Theories 318 VI.5 Ferromagnets and Antiferromagnets 322 VI.6 Surface Growth and Field Theory 326 VI.7 Disorder: Replicas and Grassmannian Symmetry 330 VI.8 Renormalization Group Flow as a Natural Concept in High Energy and Condensed Matter Physics 337 PART VII: GRAND UNIFICATION VII.1 Quantizing Yang-Mills Theory and Lattice Gauge Theory. 353 VII.2 Electroweak Unification 361 VII.3 Quantum Chromodynamics 368 VII.4 Large N Expansion 377 VII.5 Grand Unification 391 VII.6 Protons Are Not Forever 397 VII.7 SO(10) Unification 405 PART VIII: GRAVITY AND BEYOND VIII.1 Gravity as a Field Theory and the Kaluza-Klein Picture.419 VIII.2 The Cosmological Constant Problem and the Cosmic Coincidence Problem 434 VIII.3 Effective Field Theory Approach to Understanding Nature 437 VIII.4 Supersymmetry: A Very Brief Introduction443 VIII.5 A Glimpse of String Theory as a 2-Dimensional Field Theory 452 Closing Words 455 APPENDIXES: A: Gaussian Integration and the Central Identity of Quantum Field Theory 459 B: A Brief Review of Group Theory 461 C: Feynman Rules 471 D: Various Identities and Feynman Integrals475 E Dotted and Undotted Indices and the Majorana Spinor.479 Solutions to Selected Exercises 483 Further Reading 501 Index 505
