格点规范理论 第4版 英文影印版 作者：（德）罗斯 著 出版时间： 2014年版 内容简介 This book is a slight extension of the third edition. Apart from some small additions to various sections, it contains a new extended section on Calorons in chapter 17, a topic that was only touched upon in the previous edition. Calorons are finite temperature instantons in the pure non-abelian SU(2) and SU(3) gauge theories, and have been the subject of intensive investigations in the past twelve years. As has been shown analytically, they possess very interesting properties, and appear to provide a connection between non-perturbative instanton like excitations, vortices and monopoles. Because they are excitations of the pure non-abelian gauge theories, they can also be studied in detailin ensembles of lattice gauge field configurations using conventional Monte Carlo methods, where their indirect role played for the confinement problem becomes visible. As always we have tried to present the material in a transparent way, avoiding mathematical details, which are quite complex, as well as details in the simulations, which are in fact quite subtle. 目录 Dedication Preface Preface to the Third Edition Preface to the Second Edition Preface to the First Edition 1. INTRODUCTION
2. THE PATH INTEGRAL APPROACH TO QUANTIZATION 2.1 The Path Integral Method in Quantum Mechanics 2.2 Path Integral Representation of Bosonic Green Functions inFieldtheory 2.3 The Transfer Matrix 2.4 Path Integral R,epresentation of Fermionic Green Functions 2.5 Discretizing Space-Time. The Lattice as a Regulator ofa Quantum Field Theory
3. THE FREE SCALAR FIELD ON THE LATTICE
4. FER,MIONS ON THE LATTICE 4.1 The Doubling Problem 4.2 A Closer Look at Fermion Doubling 4.3 Wilson Fermions 4.4 Staggered Fermions 4.5 Technical Details of the Staggered Fermion Formulation 4.6 Staggered Fermions in Momentum Space 4.7 Ginsparg-Wilson Fermions. The Overlap Operator
5. ABELIAN GAUGE FIELDS ON THE LATTICE AND COMPACT QED 5.1 Preliminaries 5.2 Lattice Formulation of QED …… 6. NON ABELIAN GAUGE FIELDS ON THE LATTICE COMPACT QCD 7. THE WILSON LOOP AND THE STATIC QUARK-ANTIQUARK POTENTIAL 8. THE QQ-POTENTIAL IN SOME SIMPLE MODELS 9. THE CONTINUUM LIMIT OF LATTICE QCD 10. LATTICE SUM RULES 11. THE STRONG COUPLING EXPANSION 12. THE HOPPING PARAMETER EXPANSION 13. WEAK COUPLING EXPANSION (I). THE φ3_THEORY 14. WEAK COUPLING EXPANSION (II). LATTICE QED 15. WEAK COUPLING EXPANSION (III). LATTICE QCD 16. MONTE CARLO METHODS 17. SOME RESULTS OF MONTE CARLO CALCULATIONS 18. PATH-INTEGRAL REPRESENTATION OF THE THERMODYNAMICAL PARTITION FUNCTION FOR SOME SOLVABLE BOSONIC AND FERMIONIC SYSTEMS 19. FINITE TEMPERATURE PERTURBATION THEORY OFF AND ON THE LATTICE 20. NON-PERTURBATIVE QCD AT FIBfITE TEMPERATURE
