A Modern Course in Quantum Field Theory, Volume 1

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.

Quantum field theory without renormalization theory and without non-perturbative methods is a very formal structure and set of tools. The renormalization group and non-perturbative methods give it profound meaning and purpose. This volume provides a thorough presentation of the fundamentals of canonical quantization, path integrals and effective action, and it also includes a complete self-contained discussion of the renormalization of phi-four theory, quantum electrodynamics and gauge theories, as well as a systematic presentation of the problems of renormalizability and critical phenomena using the renormalization group equation.