汤姆·兰卡斯特(Tom Lancaster),曾是牛津大学物理学研究员,2012 年加入杜伦大学,目前是物理系和材料物理中心的教授。他曾担任国际μ子光谱学会主席,与斯蒂芬·布伦德尔(Stephen J. Blundell)等人合著有Muon Spectroscopy: An Introduction一书。
斯蒂芬·布伦德尔(Stephen J. Blundell),牛津大学物理系教授,并曾担任凝聚态物理的主任,他还是牛津大学曼斯菲尔德学院董事。他另著有Concepts in Thermal Physics,Magnetism in Condensed Matter,Superconductivity: A Very Short Introduction,Magnetism: A Very Short Introduction等书。
目錄:
Overture The Universe as a set of harmonic oscillatorsLagrangiansSimple harmonic oscillatorsOccupation number representationMaking second quantization work Writing down LagrangiansContinuous systemsA first stab at relativistic quantum mechanicsExamples of Lagrangians, or how to write down a theory
III. The need for quantum fields
The passage of timeQuantum mechanical transformationsSymmetryCanonical quantization of fieldsExamples of canonical quantizationFields with many components and massive electromagnetismGauge fields and gauge theoryDiscrete transformations Propagators and perturbationsWays of doing quantum mechanics: propagators and Green’s functionsPropagators and FieldsThe S-matrixExpanding the S-matrix: Feynman diagramsScattering theory Interlude: wisdom from statistical physicsStatistical physics: a crash courseThe generating functional for fields Path IntegralsPath Integrals: I said to him, “You’re crazy”Field IntegralsStatistical field theoryBroken symmetryCoherent statesGrassmann numbers: coherent states and the path integral for fermions
VII. Topological ideas
Topological objectsTopological field theory
VIII. Renormalization: taming the infinite
Renormalization, quasiparticles and the Fermi surfaceRenormalization: the problem and its solutionRenormalization in action: propagators and Feynman diagramsThe renormalization groupFerromagnetism: a renormalization group tutorial Putting a spin on QFTThe Dirac equationHow to transform a spinorThe quantum Dirac fieldA rough guide to quantum electrodynamicsQED scattering: three famous cross sectionsThe renormalization of QED and two great results Some applications from the world of condensed matterSuperfluidsThe many-body problem and the metalSuperconductorsThe fractional quantum Hall fluid Some applications from the world of particle physicsNon-abelian gauge theoryThe Weinberg-Salam modelMajorana fermionsMagnetic monopolesInstantons, tunnelling and the end of the world
Appendix A. Further reading
Appendix B. Useful complex analysis