Lattice Methods for Quantum Chromodynamics

by Degrand, Thomas

• ISBN13: 9789812567277
• ISBN10: 9812567275
• Format: Hardcover
• Copyright: 2006-11-30
• Publisher: World Scientific Pub Co Inc

Summary

Numerical simulation of lattice-regulated QCD has become an important source of information about strong interactions. In the last few years there has been an explosion of techniques for performing ever more accurate studies on the properties of strongly interacting particles. Lattice predictions directly impact many areas of particle and nuclear physics theory and phenomenology. This book provides a thorough introduction to the specialized techniques needed to carry out numerical simulations of QCD: a description of lattice discretizations of fermions and gauge fields, methods for actually doing a simulation, descriptions of common strategies to connect simulation results to predictions of physical quantities, and a discussion of uncertainties in lattice simulations. More importantly, while lattice QCD is a well-defined field in its own right, it has many connections to continuum field theory and elementary particle physics phenomenology, which are carefully elucidated in this book.

Table of Contents

Introduction	p. 1
Continuum QCD and its phenomenology	p. 5
Path integration	p. 33
Renormalization and the renormalization group	p. 61
Yang-Mills theory on the lattice	p. 87
Fermions on the lattice	p. 101
Numerical methods for bosons	p. 143
Numerical methods for fermions	p. 155
Data analysis for lattice simulations	p. 183
Designing lattice actions	p. 197
Spectroscopy	p. 215
Lattice perturbation theory	p. 235
Operators with anomalous dimension	p. 249
Chiral symmetry and lattice simulations	p. 261
Finite volume effects	p. 279
Testing the standard model with lattice calculations	p. 295
QCD at high temperature and density	p. 317
Table of Contents provided by Blackwell. All Rights Reserved.