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A Modern Course in Quantum Field Theory provides a self-contained pedagogical and constructive presentation of quantum field theory. Here, constructive is not meant in the sense of axiomatic field theory, but in the sense that all results must be obtained by an explicit set of calculations from accepted premises by those who start to learn this subject. Written for advanced students, the work provides complete material for a two or three semester course and includes numerous problem exercises, some with detailed solutions.
Introduction
1 Relativistic quantum mechanics
2 Canonical quantization of free fields
3 The phi-four theory
4 The electromagnetic field and Yang-Mills gauge interactions
5 Quantum electrodynamics
6 Path integral quantization of scalar fields
7 Path integral quantization of Dirac and vector fields
8 The Callan-Symanzik renormalization group equation
A Problems
B Classical mechanics
C Classical electrodynamics