High Energy Physics Essentials - Christopher Aubin

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Résumé :

Bridge coursework to research with foundational lattice QCD knowledge

Advanced undergraduate physics students transitioning to research projects often lack the specialized knowledge needed for theoretical particle physics work. High Energy Physics Essentials: A Guide to HEP Research addresses this gap directly. Written by an award-winning physics educator and research mentor, this book provides the foundational concepts students need to engage in supervised lattice QCD research early in their academic careers.

The book reviews special relativity, electrodynamics, and quantum electrodynamics before introducing fundamental quantum chromodynamics concepts. Students learn the theory underpinning the standard model of elementary particle physics, including quarks as building blocks of protons, neutrons, and pions. Each chapter includes ten to twenty problems that reinforce material and provide practical experience solving theoretical physics problems.

Readers will also find:

• Comprehensive coverage spanning special and general relativity, quantum mechanics, electrodynamics, quantum field theory, and essential group theory foundations
• Independent study structure allowing students to prepare for research projects without requiring additional coursework or direct supervision
• Practical problem sets in each chapter providing hands-on experience with the mathematical challenges inherent in theoretical particle physics
• Clear pathways from standard coursework to active participation in supervised lattice quantum chromodynamics research projects
• Guidance for supervisors seeking to close knowledge gaps when students transition from classroom learning to research environments

Designed for advanced undergraduate physics students or even early graduate students preparing for research projects, this book also serves physicists and lecturers supervising student researchers. By equipping students with skills and confidence for theoretical particle physics research, it streamlines the transition from coursework to productive research participation....

Biographie:

Christopher Aubin, PhD, is Professor of Physics at Fordham University, Bronx, NY, USA. He studied physics at the University of Dallas and Washington University and has received multiple teaching honors including the Franklin B. Shull Prize for Teaching Excellence, Fordham University Teacher of the Year in the Sciences Award, and the Undergraduate Research Mentor of the Year Award from Fordham University in 2022....

Sommaire:

1. Introduction

The Standard Model

Quantum Electrodynamics

Quantum Chromodynamics and Quarks

Natural Units

Problems

?

2. From Modern Physics to Four-Vectors

Lorentz Transformations

Moving to Four-Vectors

Other Vectors and Beyond

Euclidean Space

Problems

?

3. From Modern Physics to Quantum Field Theory

Waves or Particles?

Wavefunctions and States

Relativistic Quantum Mechanics

Spin

Chirality

Path Integral

Representing the States - Dirac Notation

Examples

Problems

?

4. From Electromagnetics to Quantum Electrodynamics

Maxwell's Equations

Exercises

E&M in Relativistic Notation

Exercises

?

5. A Quick Peek at Probabilities

?

6. Symmetries and Group Theory

Group theory

Examples

Representations vs. Elements

Exercises

Symmetry Transformations as Group Operations

Rotations

Unitary Groups

Lorentz Group

Dirac Bilinears

Exercises

Gauge invariance

?

7. From Newton's Laws to Lagrangians

Classical Physics from a Lagrangian Approach

Field theory

Dirac Equation to QED

Exercises

?

8. Feynman Rules

?

9. Gaussian integrals

Gaussian integrals with Ordinary Real Numbers

Gaussian integrals with Ordinary Complex Numbers

Other Important integrals

?

10. Lattice QCD

Discretizing Space, Time, and Derivatives

Exercises

Gauge invariance on the Lattice

Generating Configurations

Exercises

Fermions on the Lattice

Sea Quarks & the Quark Determinant

Valence Quarks & the Pion Correlator

Species Doubling

Exercises

Scale Setting