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[资源] LATTICE GAUGE THEORIES：An Introduction （Heinz J Rothe ）(Third Edition)

LATTICE GAUGE THEORIES
An Introduction
(Third Edition)

by Heinz J Rothe (Universität Heidelberg, Germany)

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.

Contents:

The Path Integral Approach to Quantization

The Free Scalar Field on the Lattice

Fermions on the Lattice

Abelian Gauge Fields on the Lattice and Compact QED

Non-Abelian Gauge Fields on the Lattice. Compact QCD

The Wilson Loop and the Static Quark-Antiquark Potential

The QQ¯ Potential in Some Simple Models

The Continuum Limit of Lattice QCD

Lattice Sum Rules

The Strong Coupling Expansion

The Hopping Parameter Expansion

Weak Coupling Expansion (I). The Φ3-Theory

Weak Coupling Expansion (II). Lattice QED

Weak Coupling Expansion (III). Lattice QCD

Monte Carlo Methods

Some Results of Monte Carlo Calculations

Path-Integral Representation of the Thermodynamical Partition Function for Some Solvable Bosonic and Fermionic Systems

Finite Temperature Perturbation Theory Off and On the Lattice

Non-Perturbative QCD at Finite Temperature

Readership: Graduate students and theoretical elementary particle physicists working in the field of lattice field theories.

“This book is clearly written and its content is explained so as to be understandable by anyone with a knowledge of the basics of quantum field theory. As an introductory text, it concentrates more on physical motivation and general principles, often avoiding more mathematically rigorous proofs where they might be confusing to the beginner … it acts as a valuable starting point for anyone wishing to understand more about this subject.”

Mathematical Reviews

“This book is of invaluable interest for scientists working in this area (gauge theories on lattices) and it is addressed mainly at the graduate students interested in particle physics. It can be also of interest for physicists working in statistical mechanics, since the lattice formulation of field theories resembles closely that of complex mechanical systems.”

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