Quantum Field Theory for the Gifted Amateur
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Product details:
- Publisher OUP Oxford
- Date of Publication 17 April 2014
- ISBN 9780199699322
- Binding Hardback
- No. of pages504 pages
- Size 248x195x30 mm
- Weight 1002 g
- Language English
- Illustrations 242 b/w illustrations 0
Categories
Short description:
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.
MoreLong description:
Quantum field theory is arguably the most far-reaching and beautiful physical theory ever constructed, with aspects more stringently tested and verified to greater precision than any other theory in physics. Unfortunately, the subject has gained a notorious reputation for difficulty, with forbidding looking mathematics and a peculiar diagrammatic language described in an array of unforgiving, weighty textbooks aimed firmly at aspiring professionals. However, quantum field theory is too important, too beautiful, and too engaging to be restricted to the professionals. This book on quantum field theory is designed to be different. It is written by experimental physicists and aims to provide the interested amateur with a bridge from undergraduate physics to quantum field theory. The imagined reader is a gifted amateur, possessing a curious and adaptable mind, looking to be told an entertaining and intellectually stimulating story, but who will not feel patronised if a few mathematical niceties are spelled out in detail. Using numerous worked examples, diagrams, and careful physically motivated explanations, this book will smooth the path towards understanding the radically different and revolutionary view of the physical world that quantum field theory provides, and which all physicists should have the opportunity to experience.
A refreshing hands-on approach ... [and] a tremendous resource to have to hand or perhaps to use as a textbook for a first course on QFT to a mixed audience.
Table of Contents:
Overture
I: The Universe as a set of harmonic oscillators
Lagrangians
Simple harmonic oscillators
Occupation number representation
Making second quantization work
II: Writing down Lagrangians
Continuous systems
A first stab at relativistic quantum mechanics
Examples of Lagrangians, or how to write down a theory
III: The need for quantum fields
The passage of time
Quantum mechanical transformations
Symmetry
Canonical quantization of fields
Examples of canonical quantization
Fields with many components and massive electromagnetism
Gauge fields and gauge theory
Discrete transformations
IV: Propagators and perturbations
Ways of doing quantum mechanics: propagators and Green's functions
Propagators and Fields
The S-matrix
Expanding the S-matrix: Feynman diagrams
Scattering theory
V: Interlude: wisdom from statistical physics
Statistical physics: a crash course
The generating functional for fields
VI: Path Integrals
Path Integrals: I said to him, "You're crazy"
Field Integrals
Statistical field theory
Broken symmetry
Coherent states
Grassmann numbers: coherent states and the path integral for fermions
VII: Topological ideas
Topological objects
Topological field theory
VIII: Renormalization: taming the infinite
Renormalization, quasiparticles and the Fermi surface
Renormalization: the problem and its solution
Renormalization in action: propagators and Feynman diagrams
The renormalization group
Ferromagnetism: a renormalization group tutorial
IX: Putting a spin on QFT
The Dirac equation
How to transform a spinor
The quantum Dirac field
A rough guide to quantum electrodynamics
QED scattering: three famous cross sections
The renormalization of QED and two great results
X: Some applications from the world of condensed matter
Superfluids
The many-body problem and the metal
Superconductors
The fractional quantum Hall fluid
XI: Some applications from the world of particle physics
Non-abelian gauge theory
The Weinberg-Salam model
Majorana fermions
Magnetic monopoles
Instantons, tunnelling and the end of the world
Appendix A: Further reading
Appendix B: Useful complex analysis
Quantum Field Theory for the Gifted Amateur
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