Lattice Quantum Chromodynamics: Practical Essentials

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This book provides an overview of the techniques central to lattice quantum chromodynamics, including modern developments. The book has four chapters. The first chapter explains the formulation of quarks and gluons on a Euclidean lattice. The second chapter introduces Monte Carlo methods and details the numerical algorithms to simulate lattice gauge fields. Chapter three explains the mathematical and numerical techniques needed to study quark fields and the computation of quark propagators. The fourth chapter is devoted to the physical observables constructed from lattice fields and explains how to measure them in simulations. The book is aimed at enabling graduate students who are new to the field to carry out explicitly the first steps and prepare them for research in lattice QCD.
 

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Contents

1 Quantum Field Theory QFT on the Lattice
1
2 Monte Carlo Methods
35
3 Handling Fermions on the Lattice
55
4 Calculating Observables of Quantum Fields
97
Appendix A Notational Conventions
134
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