Quantum Fields on a Lattice

Quantum Fields on a Lattice
Author: Istvan Montvay
Publisher: Cambridge University Press
Total Pages: 512
Release: 1994
Genre: Mathematics
ISBN: 9780521599177

Presents a comprehensive and coherent account of the theory of quantum fields on a lattice.

Lattice Gauge Theories: An Introduction

Lattice Gauge Theories: An Introduction
Author: Heinz J Rothe
Publisher: World Scientific
Total Pages: 397
Release: 1992-01-29
Genre:
ISBN: 9814602302

This book introduces a large number of topics in lattice gauge theories, including analytical as well as numerical methods. It provides young physicists with the theoretical background and basic computational tools in order to be able to follow the extensive literature on the subject, and to carry out research on their own. Whenever possible, the basic ideas and technical inputs are demonstrated in simple examples, so as to avoid diverting the readers' attention from the main line of thought. Sufficient technical details are however given so that he can fill in the remaining details with the help of the cited literature without too much effort.This volume is designed for graduate students in theoretical elementary particle physics or statistical mechanics with a basic knowledge in Quantum Field Theory.

Lattice Quantum Chromodynamics

Lattice Quantum Chromodynamics
Author: Francesco Knechtli
Publisher: Springer
Total Pages: 149
Release: 2016-10-20
Genre: Science
ISBN: 9402409998

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.

Quantum Chromodynamics on the Lattice

Quantum Chromodynamics on the Lattice
Author: Christof Gattringer
Publisher: Springer
Total Pages: 352
Release: 2009-10-03
Genre: Science
ISBN: 3642018505

This introduction to quantum chromodynamics presents the basic concepts and calculations in a clear and didactic style accessible to those new to the field. Readers will find useful methods for obtaining numerical results, including pure gauge theory and quenched spectroscopy.

The Physics of Quantum Fields

The Physics of Quantum Fields
Author: Michael Stone
Publisher: Springer Science & Business Media
Total Pages: 285
Release: 2012-12-06
Genre: Science
ISBN: 1461205077

A gentle introduction to the physics of quantized fields and many-body physics. Based on courses taught at the University of Illinois, it concentrates on the basic conceptual issues that many students find difficult, and emphasizes the physical and visualizable aspects of the subject. While the text is intended for students with a wide range of interests, many of the examples are drawn from condensed matter physics because of the tangible character of such systems. The first part of the book uses the Hamiltonian operator language of traditional quantum mechanics to treat simple field theories and related topics, while the Feynman path integral is introduced in the second half where it is seen as indispensable for understanding the connection between renormalization and critical as well as non-perturbative phenomena.

Lattice Quantum Field Theory Of The Dirac And Gauge Fields: Selected Topics

Lattice Quantum Field Theory Of The Dirac And Gauge Fields: Selected Topics
Author: Belal Ehsan Baaquie
Publisher: World Scientific
Total Pages: 317
Release: 2020-07-30
Genre: Science
ISBN: 9811209715

Quantum Chromodynamics is the theory of strong interactions: a quantum field theory of colored gluons (Yang-Mills gauge fields) coupled to quarks (Dirac fermion fields). Lattice gauge theory is defined by discretizing spacetime into a four-dimensional lattice — and entails defining gauge fields and Dirac fermions on a lattice. The applications of lattice gauge theory are vast, from the study of high-energy theory and phenomenology to the numerical studies of quantum fields.Lattice Quantum Field Theory of the Dirac and Gauge Fields: Selected Topics examines the mathematical foundations of lattice gauge theory from first principles. It is indispensable for the study of Dirac and lattice gauge fields and lays the foundation for more advanced and specialized studies.

Quarks, Gluons and Lattices

Quarks, Gluons and Lattices
Author: Michael Creutz
Publisher: Cambridge University Press
Total Pages: 179
Release: 2023-01-31
Genre: Science
ISBN: 100929038X

This 1983 book, reissued as OA, introduces the lattice approach to QFT for elementary particle and solid state physicists.