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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
PART VII GRAND UNIFICATION
PART VIII GRAVITY AND BEYOND
APPENDIXES
