Gauge theories in particle physics : : a practical introduction. / Volume 1 : : From relativistic quantum mechanics to QED / / by Ian J R Aitchison and Anthony J.G. Hey.

• VerfasserIn: Aitchison, Ian Johnston Rhind, 1936-; Hey, Anthony J. G.,
• TeilnehmendeR: Hey, Anthony J. G.,
• Place / Publishing House: Boca Raton, FL : : CRC Press, an imprint of Taylor and Francis,, 2012.
• Year of Publication: 2013; 2012
• Edition: Fourth edition.
• Language: English
• Physical Description: 1 online resource (444 pages)
• Notes: Description based upon print version of record.

Volume 1 of this revised and updated edition provides an accessible and practical introduction to the first gauge theory included in the Standard Model of particle physics: quantum electrodynamics (QED) The book includes self-contained presentations of electromagnetism as a gauge theory as well as relativistic quantum mechanics. It provides a unique elementary introduction to quantum field theory, establishing the essentials of the formal and conceptual framework upon which the subsequent development of the three gauge theories is based. The text also describes tree-level calculations of physical processes in QED and introduces ideas of renormalization in the context of one-loop radiative corrections for QED.

Table of Contents

Front Cover; Dedication; Contents; Preface; I. Introductory Survey, Electromagnetism as a Gauge Theory, and Relativistic Quantum Mechanics; 1. The Particles and Forces of the Standard Model; 2. Electromagnetism as a Gauge Theory; 3. Relativistic Quantum Mechanics; 4. Lorentz Transformations and Discrete Symmetries; II. Introduction to Quantum Field Theory; 5. Quantum Field Theory I: The Free Scalar Field; 6. Quantum Field Theory II: Interacting Scalar Fields; 7. Quantum Field Theory III: Complex Scalar Fields, Dirac and Maxwell Fields; Introduction of Electromagnetic Interactions

III. Tree-Level Applications in QED8. Elementary Processes in Scalar and Spinor Electrodynamics; 9. Deep Inelastic Electron-Nucleon Scattering and the Parton Model; IV. Loops and Renormalization; 10. Loops and Renormalization I: The ABC Theory; 11. Loops and Renormalization II: QED; A. Non-relativistic Quantum Mechanics; B. Natural Units; C. Maxwell's Equations: Choice of Units; D. Special Relativity: Invariance and Covariance; E. Dirac δ-Function; F. Contour Integration; G. Green Functions; H. Elements of Non-relativistic Scattering Theory; I. The Schrödinger and Heisenberg Pictures

J. Dirac Algebra and Trace IdentitiesK. Example of a Cross Section Calculation; L. Feynman Rules for Tree Graphs in QED; References