內容介紹 | |
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出版社:世界圖書出版公司
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ISBN:9787510005275
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作者:(美)徐一鴻
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頁數:518
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出版日期:2009-08-01
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印刷日期:2009-08-01
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包裝:平裝
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開本:24開
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版次:1
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印次:1
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As a student, I was rearing at the bit, after a course on quantum mechanics, to learn quantum field theory, but the books on the subject all seemed so formidable.Fortunately, I came across a little book by Mandl on field theory, which gave me a taste of the subject enabling me to go on and tackle the more substantive texts. I have since learned that other physicists of my generation had similar good experiences with Mandl.
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Preface Convention, Notation, and Units PART I MOTIVATION AND FOUNDATION I.1 Who Needs It? I.2 Path Integral Formulation of Quantum Physics I.3 From Mattress to Field I.4 From Field to Particle to Force I.5 Coulomb and Newton: Repulsion and Attraction I.6 Inverse Square Law and the Floating 3-Brane I.7 Feynman Diagrams I.8 Quantizing Canonically and Disturbing the Vacuum I.9 Symmetry I.10 Field Theory in Curved Spacetime I.11 Field Theory Redux PART II DIRAC AND THE SPINOR II.1 The Dirac Equation II.2 Quantizing the Dirac Field II.3 Lorentz Group and Weyl Spinors II.4 Spin-Statistics Connection II.5 Vacuum Energy, Grassmann Integrals, and Feynman Diagrams for Fermions II.6 Electron Scattering and Gauge Invariance II.7 Diagrammatic Proof of Gauge Invariance PART III RENORMALIZATION AND GAUGE INVARIANCE III.1 Cutting Off Our Ignorance III.2 Renormalizable versus Nonrenormalizable III.3 Counterterms and Physical Perturbation Theory III.4 Gauge Invariance: A Photon Can Find No Rest III.5 Field Theory without Relativity III.6 The Magnetic Moment of the Electron III.7 Polarizing the Vacuum and Renormalizing the Charge PART IV SYMMETRY AND SYMMETRY BREAKING IV.1 Symmetry Breaking IV.2 The Pion as a Nambu-Goldstone Boson IV.3 Effective Potential IV.4 Magnetic Monopole IV.5 Nonabelian Gauge Theory IV.6 The Anderson-Higgs Mechanism IV.7 Chiral Anomaly PART V FIELD THEORY AND COLLECTIVE PHENOMENA V.1 Superfluids V.2 Euclid, Boltzmann, Hawking, and Field Theory at Finite Temperature V.3 Landau-Ginzburg Theory of Critical Phenomena V.4 Superconductivity V.5 Peierls Instability V.6 Solitons V.7 Vortices, Monopoles, and Instantons PART VI FIELD THEORY AND CONDENSED MATTER VI.1 Fractional Statistics, Chern-Simons Term, and Topological Field Theory VI.2 Quantum Hall Fluids VI.3 Duality VI.4 The a Models as Effective Field Theories VI.5 Ferromagnets and Antiferromagnets VI.6 Surface Growth and Field Theory VI.7 Disorder: Replicas and Grassmannian Symmetry VI.8 Renormalization Group Flow as a Natural Concept in High Energy and Condensed Matter Physics PART VII GRAND UNIFICATION VII.1 Quantizing Yang-Mills Theory and Lattice Gauge Theory VII.2 Electroweak Unification VII.3 Quantum Chromodynamics VII.4 Large N Expansion VII.5 Grand Unification VII.6 Protons Are Not Forever VII.7 SO(10) Unification PART VIII GRAVITY AND BEYOND VIII.1 Gravity as a Field Theory and the Kaluza-Klein Picture VIII.2 The Cosmological Constant Problem and the Cosmic Coincidence Problem VIII.3 Effective Field Theory Approach to Understanding Natu.r VIII.4 Supersymmetry: A Very Brief Introduction VIII.5 A Glimpse of String Theory as a 2-Dimensional Field Theory Closing Words APPENDIXES A Gaussian Integration and the Central Identity of Quantum Field Theory B A Brief Review of Group Theory C Feynman Rules D Various Identities and Feynman Integrals E Dotted and Undotted Indices and the Majorana Spinor Solutions to Selected Exercises Further Reading Index
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