Foundations of Quantum Field Theory

✍ Scribed by Klaus Dieter Rothe

• Publisher: World Scientific
• Year: 2020
• Tongue: English
• Leaves: 350
• Series: World Scientific Lecture Notes In Physics 84
• Edition: 3
• Category: Library

✦ Synopsis

Based on a two-semester course held at the University of Heidelberg, Germany, this book provides an adequate resource for the lecturer and the student. The contents are primarily aimed at graduate students who wish to learn about the fundamental concepts behind constructing a Relativistic Quantum Theory of particles and fields. So it provides a comprehensive foundation for the extension to Quantum Chromodynamics and Weak Interactions, that are not included in this book.

✦ Table of Contents

Dedication
Preface
Contents
1 The Principles of Quantum Physics
2 Lorentz Group and Hilbert Space
3 Search for a Relativistic Wave Equation
4 The Dirac Equation
5 The Free Maxwell Field
6 Quantum Mechanics of Dirac Particles
7 Second Quantization
8 Canonical Quantization
9 Global Symmetries and Conservation Laws
10 The Scattering Matrix
11 Perturbation Theory
12 Parametric Representation of a General Diagram
13 Functional Methods
14 Dyson–Schwinger Equation
15 Regularization of Feynman Diagrams
16 Renormalization
17 Broken Scale Invariance and Callan{Symanzik Equation
18 Renormalization Group
19 Spontaneous Symmetry Breaking
20 Eective Potentials
Index