# A Standard Model Workbook

This introduction to the Standard Model of particle physics provides students with a classroom-tested workbook to optimize learning this material in student-centered classes. Developed to support a one-semester upper-level undergraduate or graduate course, it includes hundreds of homework problems that will guide students to a clear understanding of this fascinating field.

### Summary

A Standard Model Workbook provides upper-level undergraduates a one-semester introduction to the Standard Model of particle physics. Its classroom-tested workbook design offers multiple paths through the material, consisting of short chapters that provide an overview of a topic followed by opportunities for students to work out the details for themselves, concluding with homework problems to further develop students’ understanding of the concepts. This allows students to truly own the materials by working through it and allows instructors to construct an active, student-centered class.

Topics include a review of special relativity and quantum mechanics; the Lagrangian mechanics of fields; some basic quantum field theory; Feynman diagrams; solutions to the Dirac equation; the U(1), SU(2), and SU(3) symmetries and their implications for electrodynamics; the electroweak theory and quantum chromodynamics; renormalization; the Higgs mechanism; fermion and neutrino masses; experimental tests and applications of the Standard Model; and a look at possibilities beyond the Standard Model. The book is designed to offer multiple paths through the material so that instructors can choose what to emphasize. Online “Hints and Selected Solutions” are also available, as is an online Instructor’s Manual.

### Table of Contents

Preface

Chapter 1. Introduction

#### Section I. Relativity

Chapter 2. Special Relativity

Chapter 3. Index Notation

#### Section II. Classical Fields

Chapter 4. A Classical Scalar Field

Chapter 5. The Klein-Gordon Equation

Chapter 6. Noether’s Theorem

#### Section III. Quantum Mechanics

Chapter 7. Basic Quantum Mechanics

Chapter 8. Operators and Time Evolution

Chapter 9. Angular Momentum

#### Shortcut to 15

Chapter 10. Feynman Diagram Quick Start

#### Section IV. Quantum Field Theory

Chapter 11. Creation and Annihilation Operators

Chapter 12. The Quantized Scalar Field

Chapter 13. Interactions and Feynman Diagrams

#### Section V. Connection to Experiment

Chapter 14. Fermi’s Golden Rule

Chapter 15. Toy Universe Predictions

#### Section VI. Spin – ½ Particles

Chapter 16. The Dirac Equation

Chapter 17. Transforming Dirac Spinors

Chapter 18. Quantizing the Dirac Field

#### Section VII. The Electroweak Theory

Chapter 19. Electromagnetism from U(1)

Chapter 20. Quantum Electrodynamics

Chapter 21. Renormalization

Chapter 22. Applications of QED

Chapter 23. The Weak Interaction from SU(2)

Chapter 24. The Weak Interaction’s Leftist Bias

Chapter 25. The Unified Electroweak Theory

#### Section VIII. Particle Masses

Chapter 26. The Higgs Mechanism

Chapter 27. Fermion Masses and Mixing

Chapter 28. Neutrino Masses and Mixing

Chapter 29. Applications of the Electroweak Theory

#### Section IX. Chromodynamics

Chapter 30. Chromodynamics from SU(3)

Chapter 31. Applications of QCD

#### Section X. And Beyond!

Chapter 32. Beyond the Standard Model

#### Appendix

Appendix A. Potentials From Interactions

#### Index

### Reviews

*“Moore blends clear and efficient prose with well-chosen exercises that are an essential part of the exposition, helping students build both fluency with the concepts and facility with the calculations. This workbook guides the student from first steps to the sort of mastery through computation that is prized by working physicists.”*

-William Loinaz, Amherst College