(Ebook PDF) Gauge Theories in Particle Physics 40th Anniversary Edition A Practical Introduction Volume 1 5th Edition by Ian Aitchison, Anthony Hey 1040012779 9781040012772 Full chapter
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ISBN 10: 1040012779
ISBN 13: 978-1040012772
Author: Ian J R Aitchison, Anthony J.G. Hey
Volume 1 of this updated edition provides a broad introduction to the first of these theories, QED. The book begins with self-contained presentations of relativistic quantum mechanics and electromagnetism as a gauge theory. Lorentz transformations, discrete symmetries, and Majorana fermions are covered. A unique feature is the elementary introduction to quantum field theory, leading in easy stages to covariant perturbation theory and Feynman graphs, thereby establishing a firm foundation for the formal and conceptual framework upon which the subsequent development of the three quantum gauge field theories of the Standard Model is based. Detailed tree-level calculations of physical processes in QED are presented, followed by an elementary treatment of one-loop renormalization of a model scalar field theory, and then by the realistic case of QED. The text includes updates on nucleon structure functions and the status of QED, in particular the precision tests provided by the anomalous magnetic moments of the electron and muon.
The authors discuss the main conceptual points of the theory, detail many practical calculations of physical quantities from first principles, and compare these quantitative predictions with experimental results, helping readers improve both their calculation skills and physical insight.
Each volume should serve as a valuable handbook for students and researchers in advanced particle physics looking for an introduction to the Standard Model of particle physics.
Gauge Theories in Particle Physics 40th Anniversary Edition A Practical Introduction Volume 1 5th Table of contents:
Chapter 1: The Particles and Forces of the Standard Model
- Introduction to the Standard Model
- Fundamental Particles: Quarks, Leptons, and Gauge Bosons
- The Fundamental Forces: Gravitational, Electromagnetic, Weak, and Strong Interactions
- The Higgs Mechanism and Mass Generation
Chapter 2: Electromagnetism as a Gauge Theory
- Gauge Symmetry and the Electromagnetic Field
- The Electromagnetic Field Tensor
- Lagrangian Formulation for Electromagnetic Interactions
- Charge Conservation and Noether’s Theorem
Chapter 3: Relativistic Quantum Mechanics
- Relativistic Energy-Momentum Relation
- The Klein-Gordon Equation
- The Dirac Equation for Spin-1/2 Particles
- Solutions to the Dirac Equation
Chapter 4: Lorentz Transformations and Discrete Symmetries
- Lorentz Transformations and Spacetime Symmetry
- Parity, Time Reversal, and Charge Conjugation
- Discrete Symmetries in Quantum Field Theory
Chapter 5: Quantum Field Theory I: The Free Scalar Field
- The Scalar Field and its Lagrangian
- Quantization of the Scalar Field
- The Free Scalar Field Propagator
- Interpretation of Field Operators
Chapter 6: Quantum Field Theory II: Interacting Scalar Fields
- Interaction Lagrangians and Couplings
- Perturbative Expansion and Feynman Diagrams
- The Renormalization Group
- Scattering Amplitudes for Interacting Fields
Chapter 7: Quantum Field Theory III
- Gauge Symmetry and Gauge Bosons
- Renormalization of Gauge Theories
- The Higgs Mechanism and Spontaneous Symmetry Breaking
- Quantum Chromodynamics (QCD)
Chapter 8: Elementary Processes
- Scattering Processes and Cross Sections
- Feynman Rules for Elementary Processes
- Cross Section Calculations and Conservation Laws
Chapter 9: Deep Inelastic Electron-Nucleon Scattering
- High-Energy Scattering and Parton Model
- Deep Inelastic Scattering and Structure Functions
- The Parton Distribution Function
- Experimental Evidence for Quarks
Chapter 10: Loops and Renormalization I: The ABC Theory
- Introduction to Loop Corrections
- The ABC Theory and Quantum Field Loop Integrals
- Divergences and Renormalization
- Renormalization of Quantum Field Theories
Chapter 11: Loops and Renormalization II: QED
- Renormalization in Quantum Electrodynamics (QED)
- Feynman Diagrams with Loops
- Calculation of Physical Observables in QED
- Anomalies and their Significance in Quantum Field Theory
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