Synopses & Reviews
Presents a comprehensive and coherent account of the theory of quantum fields on a lattice.
Review
"...a real advancement for the study of quantum field theory on a lattice... a rather comprehensive treatment of its many recent applications without the presentation of detailed numerical results...this book will be generally useful to those readers who seek an accurate knowledge of lattice techniques applied to quantum field theory for some years to come. The cited literature with the exact titles could be very helpful to the advance graduate student in the further understanding of this type of work in high energy physics." David E. Miller, Mathematical Reviews, 98j
Synopsis
The authors describe the mathematical methods of quantum field theory on a set of discrete lattice points. The approximation of the quantum fields by a set of lattice points allows the treatment of a large number of physical phenomena. Besides analytical approximations, a very important approach is to perform large-scale numerical simulations on supercomputers. The book will be valuable for graduate students and researchers in theoretical physics, high energy elementary particle physics, and field theory, giving an up-to-date background on a rapidly growing area where there are many research papers but few books.
Synopsis
This book presents a comprehensive and coherent account of the theory of lattice quantum field theory. After introductory chapters on scalar fields, gauge fields and fermion fields, the book proceeds to study quarks and gluons in QCD and fermions and bosons in the electroweak theory. The last chapter is devoted to numerical simulation algorithms which have been used in recent large scale numerical simulations.
Table of Contents
Preface; 1. Introduction; 2. Scalar fields; 3. Gauge fields; 4. Fermion fields; 5. Quantum chromodynamics; 6. Higgs and Yukawa models; 7. Simulation algorithms; 8. Appendix; References; Index.