罗斯所著的《格点规范理论(第4版)》旨在介绍时空格点上形成的规范场论,特别是QCD。作为一本研究生高年级的教材,书中也明确讲述了做研究必需的解析和数值技巧。尽管一些解析计算难度非常高,似乎超出了入门书籍的范围,但仍然做了足够详细的介绍,所以学习起来并不觉得准备不足。书中也介绍了一些当前正在被大力研究的课题,尽可能地将主要观点在延伸到实际理论之前,运用简单模型进行实例化。重点强调先前工作的数值结果,并用大量的图标展示。
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 PACT QED
5.1 Preliminaries
5.2 Lattice Formulation of QED
……
6.NON ABELIAN GAUGE FIELDS ON THE LATTICE PACT QCD
7.THE WILSON LOOP AND THE STATIC QUARK-ANTIQUARK POTENTIAL
8.THE 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