Lattice Gauge Theories

An Introduction

Heinz J Rothe

• Publisher: WSPC
• Year: 2005
• ISBN:
  9789813102095
• Edition: 3
• Topic: Physical Sciences
• Subtopic: Physics
• Index: Physics

This book provides a broad introduction to gauge field theories formulated on a space-time lattice, and in particular of QCD. It serves as a textbook for advanced graduate students, and also provides the reader with the necessary analytical and numerical techniques to carry out research on his own. Although the analytic calculations are sometimes quite demanding and go beyond an introduction, they are discussed in sufficient detail, so that the reader can fill in the missing steps. The book also introduces the reader to interesting problems which are currently under intensive investigation. Whenever possible, the main ideas are exemplified in simple models, before extending them to realistic theories. Special emphasis is placed on numerical results obtained from pioneering work. These are displayed in numerous figures.

Table of contents

• PREFACE TO THE THIRD EDITION
• PREFACE TO THE SECOND EDITION
• PREFACE TO THE FIRST EDITION
• CONTENTS
• CHAPTER 1 INTRODUCTION
• CHAPTER 2 THE PATH INTEGRAL APPROACH TO QUANTIZATION
• CHAPTER 3 THE FREE SCALAR FIELD ON THE LATTICE
• CHAPTER 4 FERMIONS ON THE LATTICE
• CHAPTER 5 ABELIAN GAUGE FIELDS ON THE LATTICE AND COMPACT QED
• CHAPTER 6 NON-ABELIAN GAUGE FIELDS ON THE LATTICE COMPACT QCD
• CHAPTER 7 THE WILSON LOOP AND THE STATIC QUARK-ANTIQUARK POTENTIAL
• CHAPTER 8 THE QQ POTENTIAL IN SOME SIMPLE MODELS
• CHAPTER 9 THE CONTINUUM LIMIT OF LATTICE QCD
• CHAPTER 10 LATTICE SUM RULES
• CHAPTER 11 THE STRONG COUPLING EXPANSION
• CHAPTER 12 THE HOPPING PARAMETER EXPANSION
• CHAPTER 13 WEAK COUPLING EXPANSION (I) THE 3-THEORY
• CHAPTER 14 WEAK COUPLING EXPANSION (II) LATTICE QCD
• CHAPTER 15 WEAK COUPLING EXPANSION (III) LATTICE QCD
• CHAPTER 16 MONTE CARLO METHODS
• CHAPTER 17 SOME RESULTS OF MONTE CARLO CALCULATIONS
• CHAPTER 18 PATH-INTEGRAL REPRESENTATION OF THE THERMODYNAMICAL PARTITION FUNCTION FOR SOME SOLVABLE BOSONIC AND FERMIONIC…
• CHAPTER 19 FINITE TEMPERATURE PERTURBATION THEORY OFF AND ON THE LATTICE
• CHAPTER 20 NON-PERTURBATIVE QCD AT FINITE TEMPERATURE
• APPENDIX A
• APPENDIX B
• APPENDIX C
• APPENDIX D
• APPENDIX E
• APPENDIX F
• APPENDIX G The Electric Screening Mass for Naive Fermions in Lattice QED to One-Loop Order
• REFERENCES
• INDEX