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Introduction to quantum field theory /
This book presents in a short volume the basics of quantum field theory and many body physics. The first part introduces the perturbative techniques without sophisticated apparatus and applies them to numerous problems including quantum electrodynamics (renormalization), Fermi and Bose gases, the Br...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore ; Teaneck, NJ :
World Scientific,
©1990.
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| Colección: | World Scientific lecture notes in physics ;
v. 29. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Preface; Notations; Contents; Part I GENERAL FIELD THEORY; Chapter 1 MANY PARTICLE SYSTEMS AND FIELD THEORIES; 1. An NR Quantum System with n Degrees of Freedom; 2. Continuum Limit; 3. A Free Field; 4. Nonrelativistic Many-particle Systems; Chapter 2 RELATIVISTIC FREE FIELD THEORIES; 1. Free Scalar Fields; 2. Free Dirac Equations; 3. Plane Wave Solutions to Dirac Equations; 4. Free Dirac Fields; 5. Negative Energy Sea; Chapter 3 INTERACTIONS AMONG FIELDS; 1. An Example of Field Interactions; 2. Interaction Picture and Dyson's Expansion; 3. S-Matrix In-states and Out-states; 4. Wick's Theorem.
- 5. Second Order Processes6. Explicit Amplitudes; Chapter 4 FEYNMAN DIAGRAMS AND CROSS SECTIONS; 1. Position-space Feynman Rules; 2. Momentum-space Feynman Rules; 3. Cross Sections; 4. Phase-space Factors; 5. An Example; Chapter 5 QUANTUM ELECTRODYNAMICS; 1. The Classical Electromagnetic Field; 2. Quantization of the Electromagnetic Field; 3. The Photon Propagators; 4. The Minimal Coupling and the Feynman Rules; 5. Electron-electron Scattering; 6. Interactions with the Classical Sources; 7. Compton Scattering and the Low Energy Theorem; Chapter 6 HIGHER ORDER PROCESSES.
- 1. Degrees of Divergence2. The Vacuum Polarization Diagrams; 3. Electron Self-energy Diagrams; 4. Vertex Corrections; Chapter 7 ZERO TEMPERATURE FERMI SYSTEM; 1. Introduction; 2. The Feynman Rules; 3. Hartree-Fock Approximation; Chapter 8 THE ELECTRON GAS MODEL; 1. The Model; 2. Hartree-Fock Approximation; 3. Polarization and Screening; 4. Decay of Electrons and Holes; Chapter 9 BRUEKNER THEORY OF NUCLEAR MAITER; 1. Nuclear Matter; 2. Bruekner Theory; Chapter 10 ZERO TEMPERATURE BOSE SYSTEM; 1. Noninteracting Bose System; 2. Zero Temperature Interacting Bose System; 3. Self-energy Diagrams.
- Chapter 11 LIQUID HELIUM-41. Review of Facts; 2. Superfluidity; Chapter 12 CLASSICAL SYSTEMS WITH NOISES; 1. Equivalent Systems; 2. Feynman Rules; 3. Fokker-Planck Equations and Boltzmann Distribution; Part II ADVANCED FIELD THEORY; Chapter 1 FIELD QUANTIZATIONS; 1. Action Principle; 2. Quantization of a Scalar Field; 3. Quantization of a Dirac Field; 4. Quantization of a Vector Field; Chapter 2 LORENTZ TRANSFORMATION PROPERTIES; 1. Lorentz Invariance; 2. Free Scalar and Dirac Fields; 3. Stress Tensor; 4. Schwinger Relation; Chapter 3 DISCRETE TRANSFORMATIONS; 1. Parity; 2. Charge Conjugation.
- 3. Time Reversal4. TCP Theorem; 5. Spin and Statistics; Chapter 4 PATH INTEGRAL FORMULATION; 1. Non-relativistic Quantum Mechanics; 2. Classical Limit; 3. Hamiltonian Path Integrals; 4. Scalar Field Theories and Feynman Rules; 5. Dyson-Schwinger Equation; 6. Grassmann Algebra; 7. Fermion System; Chapter 5 GAUGE THEORIES; 1. Path Integral Formulation of Maxwell Fields; 2. Quantum Electrodynamics; 3. Yang-Mills Fields; 4. Path Integrals and Feynman Rules; 5. Examples; Chapter 6 RENORMALIZATION THEORY; 1. Renormalization of QED
- One Loop Diagrams; 2. Dyson's Prescriptions.