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.
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.
Tom Lancaster was a Research Fellow in Physics at the University of Oxford, before becoming a Lecturer at the University of Durham in 2012. Stephen J. Blundell is a Professor of Physics at the University of Oxford and a Fellow of Mansfield College, Oxford.
Inhaltsangabe
* 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
* 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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