
- 528 pages
- English
- PDF
- Available on iOS & Android
About this book
This book introduces the reader to an area of elementary particle physics which has been the subject of intensive research in the past two decades. It provides graduate students with the basic theoretical background on quantum gauge field theories formulated on a space-time lattice, and with the computational tools for carrying out research in this field. The book is a substantially extended version of the first edition which appeared in 1992. Much effort has been invested to present the material in a transparent way, and in exemplifying subtle points in simple models. The material covered should enable the reader to follow the vast literature on the subject without too much difficulties. Hopefully the book will motivate young physicists to carry out research in this area of elementary particle physics.
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Table of contents
- PREFACE
- 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 QED
- 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 SYSTEMS
- 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
- REFERENCES
- INDEX