A Modern Course in Quantum Field Theory provides a self-contained pedagogical and constructive presentation of quantum field theory. 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.

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.

Preface

Introduction

Standard model

Introduction to lattice field theory

The Wilson and functional renormalization group equations

Noncommutative scalar field theory and its renormalizability

Some exact solutions of quantum field theory

The monopoles and instantons

Introducing supersymmetry

The AdS/CFT correspondence

D Lie algebra representation theory: a primer

D.1 The Cartan Subalgebra

D.2 Roots, Cartan Matrix and Dynkin Diagrams

D.3 Weights, Dynkin Labels and Representations

D.4 Explicit Construction of Lie Algebra Representations

D.4.1 Al = su(l + 1)

D.4.2 Bl = so(2l + 1)

D.4.3 Dl = so(2l)

E On Homotopy theory