图书简介
Quantum field theory provides the theoretical backbone to most modern physics. This book is designed to bring quantum field theory to a wider audience of physicists. It is packed with worked examples, witty diagrams, and applications intended to introduce a new audience to this revolutionary theory.
Overture; I: The Universe as a set of harmonic oscillators; 1 Lagrangians; 2 Simple harmonic oscillators; 3 Occupation number representation; 4 Making second quantization work; II: Writing down Lagrangians; 5 Continuous systems; 6 A first stab at relativistic quantum mechanics; 7 Examples of Lagrangians, or how to write down a theory; III: The need for quantum fields; 8 The passage of time; 9 Quantum mechanical transformations; 10 Symmetry; 11 Canonical quantization of fields; 12 Examples of canonical quantization; 13 Fields with many components and massive electromagnetism; 14 Gauge fields and gauge theory; 15 Discrete transformations; IV: Propagators and perturbations; 16 Ways of doing quantum mechanics: propagators and Green’s functions; 17 Propagators and Fields; 18 The S-matrix; 19 Expanding the S-matrix: Feynman diagrams; 20 Scattering theory; V: Interlude: wisdom from statistical physics; 21 Statistical physics: a crash course; 22 The generating functional for fields; VI: Path Integrals; 23 Path Integrals: I said to him, You’re crazy; 24 Field Integrals; 25 Statistical field theory; 26 Broken symmetry; 27 Coherent states; 28 Grassmann numbers: coherent states and the path integral for fermions; VII: Topological ideas; 29 Topological objects; 30 Topological field theory; VIII: Renormalization: taming the infinite; 31 Renormalization, quasiparticles and the Fermi surface; 32 Renormalization: the problem and its solution; 33 Renormalization in action: propagators and Feynman diagrams; 34 The renormalization group; 35 Ferromagnetism: a renormalization group tutorial; IX: Putting a spin on QFT; 36 The Dirac equation; 37 How to transform a spinor; 38 The quantum Dirac field; 39 A rough guide to quantum electrodynamics; 40 QED scattering: three famous cross sections; 41 The renormalization of QED and two great results; X: Some applications from the world of condensed matter; 42 Superfluids; 43 The many-body problem and the metal; 44 Superconductors; 45 The fractional quantum Hall fluid; XI: Some applications from the world of particle physics; 46 Non-abelian gauge theory; 47 The Weinberg-Salam model; 48 Majorana fermions; 49 Magnetic monopoles; 50 Instantons, tunnelling and the end of the world; Appendix A: Further reading; Appendix B: Useful complex analysis
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