Overview

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.

Full Product Details

Author:   Heinz J Rothe (Univ Heidelberg, Germany)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Edition:   3rd Revised edition
Volume:   74
Dimensions:   Width: 16.10cm , Height: 3.70cm , Length: 22.80cm
Weight:   0.971kg
ISBN:  

9789812560629

ISBN 10:   9812560629
Pages:   608
Publication Date:   24 June 2005
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock  
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Table of Contents

The Path Integral Approach to Quantization; The Free Scalar 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-Antiquak Potential; The Q1 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 F3-Theory; Weak Coupling Expansion (II) & (III). Lattice QED; 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.

Reviews

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. Zentralblatt MATH

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