A Modern Course in Quantum Field Theory, Volume 2

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. Volume 2 provides a thorough presentation of the standard model, lattice field theory, topological field configurations, supersymmetry and the AdS/CFT correspondence, and it includes a systematic introduction to the functional renormalization group equation with application in noncommutative scalar field theory. Some non-perturbative methods, which allow exact solutions in lower dimensions, or due to the larger amount of symmetries involved, are also discussed.