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A Modern Course in Quantum Field Theory, Volume 2

Advanced topics
Badis Ydri

Description

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.


About Editors

Badis Ydri is currently a professor of theoretical particle physics, at the Institute of Physics, Annaba University, Algeria. He is also a research associate at the Dublin Institute for Advanced Studies, Ireland, and a regular ICTP associate at the Abdus Salam Centre for Theoretical Physics, Italy.

Table of Contents

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






Bibliographic

Hardback ISBN: 9780750314848

Ebook ISBN: 9780750314831

DOI: 10.1088/2053-2563/ab0548

Publisher: Institute of Physics Publishing

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