Rothe K.D. Foundations of Quantum Field Theory

World Scientific, 2020. — 350 p. — (World Scientific Lecture Notes in Physics 84). — ISBN 9811221928.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.The Principles of Quantum Physics
Lorentz Group and Hilbert Space
Search for a Relativistic Wave Equation
The Dirac Equation
The Free Maxwell Field
Quantum Mechanics of Dirac Particles
Second Quantization
Canonical Quantization
Global Symmetries and Conservation Laws
The Scattering Matrix
Perturbation Theory
Parametric Representation of a General Diagram
Functional Methods
Dyson — Schwinger Equation
Regularization of Feynman Diagrams
Renormalization
Broken Scale Invariance and Callan – Symanzik Equation
Renormalization Group
Spontaneous Symmetry Breaking
Effective Potentials