Lattice Methods For Quantum Chromodynamics

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Lattice Methods For Quantum Chromodynamics

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Author : Thomas A Degrand
language : en
Publisher: World Scientific
Release Date : 2006-09-27

Lattice Methods For Quantum Chromodynamics written by Thomas A Degrand and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-27 with Science categories.

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./a /remove

Lattice Methods For Quantum Chromodynamics

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Author : Thomas DeGrand
language : en
Publisher: World Scientific
Release Date : 2006

Lattice Methods For Quantum Chromodynamics written by Thomas DeGrand and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Science categories.

At a time of robust worldwide debates on globalization, this compact volume shows: how successful each of the East Asian economies have been in harnessing globalization by appropriate and alternative means to catch up with the advanced economies; and what implications can be drawn to assess Chinese economic growth in context. The essays in this book include supporting notes to review effectively the highlights of the development of East Asia, over the six decades after World War II: why the region has performed so well economically relative to the rest of the developing world; which are the most challenging limitations to be addressed; and several sensational controversies in the development economics literature to be sensibly resolved.

Lattice Methods For Quantum Chromodynamics

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Author : Thomas DeGrand
language : en
Publisher: World Scientific
Release Date : 2006

Lattice Methods For Quantum Chromodynamics written by Thomas DeGrand and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Science categories.

At a time of robust worldwide debates on globalization, this compact volume shows: how successful each of the East Asian economies have been in harnessing globalization by appropriate and alternative means to catch up with the advanced economies; and what implications can be drawn to assess Chinese economic growth in context. The essays in this book include supporting notes to review effectively the highlights of the development of East Asia, over the six decades after World War II: why the region has performed so well economically relative to the rest of the developing world; which are the most challenging limitations to be addressed; and several sensational controversies in the development economics literature to be sensibly resolved.

Lattice Quantum Chromodynamics

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Author : Francesco Knechtli
language : en
Publisher: Springer
Release Date : 2016-10-20

Lattice Quantum Chromodynamics written by Francesco Knechtli and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-20 with Science categories.

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

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Author : Christof Gattringer
language : en
Publisher: Springer
Release Date : 2009-10-03

Quantum Chromodynamics On The Lattice written by Christof Gattringer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-03 with Science categories.

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.

Quantum Chromodynamics Sum Rules

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Author : Cesareo A. Dominguez
language : en
Publisher: Springer
Release Date : 2018-07-31

Quantum Chromodynamics Sum Rules written by Cesareo A. Dominguez and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-31 with Science categories.

This concise book provides the necessary background to allow interested readers to launch original research projects on the subject matter. Currently, this material is not available from one single source, and is either spread out over numerous journal publications, or covered in long and technical monographs. At the core of this book lies the sum rule approach to obtain analytic results in Quantum Chromodynamics (QCD), the current theory of strong interactions among quarks and gluons. This method fully complements Lattice QCD, the corresponding computational approach based on discretizing QCD on a space-time lattice. Applications include standard determinations of hadronic particle properties with extensions to finite temperature and density, and possibly involving the presence of extreme magnetic fields. The latter cases include stellar objects (e.g. neutron stars and magnetars) as well as high-energy proton–proton and heavy-ion collisions. Further topics concern the determination of the fundamental parameters of QCD, e.g. quark masses and the quark–gluon couplings, the hadronic contribution to the anomalous magnetic moment of the muon, and electromagnetic coupling at the the W-boson mass scale.

Quarks Gluons And Lattices

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Author : Michael Creutz
language : en
Publisher: Cambridge University Press
Release Date : 1983

Quarks Gluons And Lattices written by Michael Creutz and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Science categories.

Introduction to the lattice approach to quantum field theory, a technique that has produced compelling evidence that exchange of gauge gluons can confine the quarks within subnuclear matter.

Lectures On Quantum Chromodynamics

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Author : A. V. Smilga
language : en
Publisher: World Scientific
Release Date : 2001

Lectures On Quantum Chromodynamics written by A. V. Smilga and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Science categories.

Quantum chromodynamics is the fundamental theory of strong interactions. It is a physical theory describing Nature. Lectures on Quantum Chromodynamics concentrates, however, not on the phenomenological aspect of QCD; books with comprehensive coverage of phenomenological issues have been written. What the reader will find in this book is a profound discussion on the theoretical foundations of QCD with emphasis on the nonperturbative formulation of the theory: What is gauge symmetry on the classical and on the quantum level? What is the path integral in field theory? How to define the path integral on the lattice, keeping intact as many symmetries of the continuum theory as possible? What is the QCD vacuum state? What is the effective low energy dynamics of QCD? How do the ITEP sum rules work? What happens if we heat and/or squeeze hadronic matter? Perturbative issues are also discussed: How to calculate Feynman graphs? What is the BRST symmetry? What is the meaning of the renormalization procedure? How to resum infrared and collinear singularities? And so on. The book is an outgrowth of the course of lectures given by the author for graduate students at ITEP in Moscow. Much extra material has been added. Sample Chapter(s). Introduction: Some History (331 KB). Lecture 1.1: Path Ordered Exponentials. Invariant Actions (624 KB). Lecture 1.2: Classical Solutions (266 KB). Lecture 2.1: Topological Charge (329 KB). Lecture 2.2: Explicit Solutions (338 KB). Lecture 3.1: Conventional Approach (330 KB). Lecture 3.2: Euclidean Path Integral (150 KB). Lecture 3.3: Holomorphic Representation (177 KB). Lecture 3.4: Grassmann Dynamic Variables (340 KB). Lecture 4.1: Dirac Quantization Procedure 782 KB). Lecture 4.2: Path Integral on the Lattice (330 KB). Lecture 5.1: Quantum Pendulum (534 KB). Lecture 5.2: Large Gauge Transformations in Non-Abelian Theory (395 KB). Contents: Foundations: YangOCoMills Field; Instantons; Path Integral in Quantum Mechanics; Quantization of Gauge Theories; Perturbation Theory: Diagram Technique in Simple and Complicated Theories; When the Gauge is Fixed OC Regularization and Renormalization; Running Coupling Constant; Weathering Infrared Storms; Collinear Singularities: Theory and Phenomenology; Nonperturbative QCD: Symmetries: Anomalous and Not; Quarks on Euclidean Lattice; Aspects of Chiral Symmetry; Mesoscopic QCD; Fairy QCD; ITEP Sum Rules: The Duality Festival; Hot and Dense QCD; Confinement. Readership: High energy physicists and advanced level graduate students in high energy physics."

Introduction To Quantum Fields On A Lattice

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Author : Jan Smit
language : en
Publisher: Cambridge University Press
Release Date : 2023-07-27

Introduction To Quantum Fields On A Lattice written by Jan Smit and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-27 with Science categories.

Clear and pedagogical introduction to quantum fields on a lattice, for advanced undergraduates and graduates.

Quantum Fields On A Lattice

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Author : Istvan Montvay
language : en
Publisher: Cambridge University Press
Release Date : 1994

Quantum Fields On A Lattice written by Istvan Montvay and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.

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