Renormalization Group and Fixed Points: in Quantum Field Theory

✍ Scribed by Timothy J Hollowood

• Publisher: Springer
• Year: 2013
• Tongue: English
• Leaves: 81
• Series: SpringerBriefs in Physics
• Edition: 2013
• Category: Library

✦ Synopsis

This Brief presents an introduction to the theory of the renormalization group in the context of quantum field theories of relevance to particle physics. Emphasis is placed on gaining a physical understanding of the running of the couplings. The Wilsonian version of the renormalization group is related to conventional perturbative calculations with dimensional regularization and minimal subtraction. An introduction is given to some of the remarkable renormalization group properties of supersymmetric theories.

Table of Contents

Cover

Renormalization Group and Fixed Points in Quantum Field Theory

ISBN 9783642363115 ISBN 9783642363122

Preface

Contents

Acronyms

Chapter 1 The Concept of the Renormalization Group

1.1 Effective Theories
1.2 RG Flow
1.3 UV and IR Limits and Fixed Points
1.4 The Continuum Limit

Chapter 2 Scalar Field Theories

2.1 Finding the RG Flow
2.2 Mapping the Space of Flows

Chapter 3 RG and Perturbation Theory

3.1 The Background Field Method
3.2 Triviality
3.3 RG Improvement

Chapter 4 Gauge Theories and Running Couplings

4.1 Quantum Electro-Dynamics
4.2 Decoupling in MS
4.3 Non-Abelian Gauge Theories
4.4 Banks-Zaks Fixed Points
4.5 The Standard Model and Grand Unificatio

Chapter 5 RG and Supersymmetry

5.1 Theories of Chiral Multiplets: Wess-Zumino Models
5.2 SUSY Gauge Theories
5.3 Vacuum Structure
5.4 RG Fixed Points
5.5 The Maximally SUSY Gauge Theory