Description
An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics.
After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the stage for a discussion of the physical principles that underlie the fundamental interactions of elementary particle physics and their description by gauge field theories.
Table of Contents
Part I: Feynman Diagrams and Quantum Electrodynamics
Invitation: Pair Production in e + e – Annihilation
The Klein Gordon Field
The Dirac Field
Interacting Fields and Feynman Diagrams
Elementary Processes of Quantum Electrodynamics
Radiative Corrections: Introduction
Radiative Corrections: Some Formal Developments
Part II: Renormalization
Invitation: Ultraviolet Cutoffs and Critical Fluctuations
Functional Methods
Systematics of Renormalization
Renormalization and Symmetry
The Renormalization Group
Critical Exponents and Scalar Field Theory
Part III: Non-Abelian Gauge Theories
Invitation: The Parton Model of Hadron Structure
Non-Abelian Gauge Invariance
Quantization of Non-Abelian Gauge Theories
Quantum Chromodynamics
Operator Products and Effective Vertices
Pertubation Theory Anomalies
Gauge Theories with Spontaneous Symmetry Breaking
Quantization of Spontaneously Broken Gauge Theories
Quantum Field Theory at the Frontier
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