Lattice QCD for Nuclear Physics

Lattice QCD for Nuclear Physics
Author: Huey-Wen Lin
Publisher: Springer
Total Pages: 255
Release: 2014-11-21
Genre: Science
ISBN: 3319080229

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With ever increasing computational resources and improvements in algorithms, new opportunities are emerging for lattice gauge theory to address key questions in strongly interacting systems, such as nuclear matter. Calculations today use dynamical gauge-field ensembles with degenerate light up/down quarks and the strange quark and it is possible now to consider including charm-quark degrees of freedom in the QCD vacuum. Pion masses and other sources of systematic error, such as finite-volume and discretization effects, are beginning to be quantified systematically. Altogether, an era of precision calculation has begun and many new observables will be calculated at the new computational facilities. The aim of this set of lectures is to provide graduate students with a grounding in the application of lattice gauge theory methods to strongly interacting systems and in particular to nuclear physics. A wide variety of topics are covered, including continuum field theory, lattice discretizations, hadron spectroscopy and structure, many-body systems, together with more topical lectures in nuclear physics aimed a providing a broad phenomenological background. Exercises to encourage hands-on experience with parallel computing and data analysis are included.

Lattice Methods For Quantum Chromodynamics

Lattice Methods For Quantum Chromodynamics
Author: Thomas A Degrand
Publisher: World Scientific
Total Pages: 363
Release: 2006-09-27
Genre: Science
ISBN: 9814478342

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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

Hadronic Physics from Lattice QCD

Hadronic Physics from Lattice QCD
Author: Anthony M. Green
Publisher: World Scientific
Total Pages: 385
Release: 2004
Genre: Science
ISBN: 9812701389

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Particle and nuclear physicists frequently take results from Lattice QCD at their face value without probing into their reliability or sophistication. This attitude usually stems from a lack of knowledge of the field. The aim of the present volume is to rectify this by introducing in an elementary way several topics, which we believe are appropriate for, and of possible interest to, both particle and nuclear physicists who are non-experts in the field.

Nuclear Physics from Lattice QCD.

Nuclear Physics from Lattice QCD.
Author:
Publisher:
Total Pages:
Release: 2013
Genre:
ISBN:

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This is the final report for this project.

Non-perturbative Methods and Lattice QCD

Non-perturbative Methods and Lattice QCD
Author: Xiang-Qian Luo
Publisher: World Scientific
Total Pages: 320
Release: 2001
Genre: Science
ISBN: 9812811370

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Lattice field theory is the most reliable tool for investigating non-perturbative phenomena in particle physics. It has also become a cross-discipline, overlapping with other physical sciences and computer science. This book covers new developments in the area of algorithms, statistical physics, parallel computers and quantum computation, as well as recent advances concerning the standard model and beyond, the QCD vacuum, the glueball, hadron and quark masses, finite temperature and density, chiral fermions, SUSY, and heavy quark effective theory.

Lattice QCD and Nuclear Physics

Lattice QCD and Nuclear Physics
Author:
Publisher:
Total Pages:
Release: 2007
Genre:
ISBN:

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A steady stream of developments in Lattice QCD have made it possible today to begin to address the question of how nuclear physics emerges from the underlying theory of strong interactions. Central role in this understanding play both the effective field theory description of nuclear forces and the ability to perform accurate non-perturbative calculations in lo w energy QCD. Here I present some recent results that attempt to extract important low energy constants of the effective field theory of nuclear forces from lattice QCD.

Lattice QCD Study for the Relation Between Confinement and Chiral Symmetry Breaking

Lattice QCD Study for the Relation Between Confinement and Chiral Symmetry Breaking
Author: Takahiro Doi
Publisher: Springer
Total Pages: 69
Release: 2017-10-10
Genre: Science
ISBN: 9811065969

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This thesis focuses on an unresolved problem in particle and nuclear physics: the relation between two important non-perturbative phenomena in quantum chromodynamics (QCD) – quark confinement and chiral symmetry breaking. The author develops a new analysis method in the lattice QCD, and derives a number of analytical formulae to express the order parameters for quark confinement, such as the Polyakov loop, its fluctuations, and the Wilson loop in terms of the Dirac eigenmodes closely related to chiral symmetry breaking. Based on the analytical formulae, the author analytically as well as numerically shows that at finite temperatures there is no direct one-to-one correspondence between them. The thesis describes this extraordinary achievement using the first-principle analysis, and proposes a possible new phase in which quarks are confined and chiral symmetry is restored.

Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance Computing

Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance Computing
Author: Laurent Lellouch
Publisher: Oxford University Press
Total Pages: 756
Release: 2011-08-25
Genre: Mathematics
ISBN: 0199691606

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The aim of the book is to familiarize the new generation of PhD students and postdoctoral fellows with the principles and methods of modern lattice field theory, which aims to resolve fundamental, non-perturbative questions about QCD without uncontrolled approximations.

Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance Computing

Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance Computing
Author: Laurent Lellouch
Publisher: OUP Oxford
Total Pages: 760
Release: 2011-08-25
Genre: Science
ISBN: 0191621269

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The book is based on the lectures delivered at the XCIII Session of the École de Physique des Houches, held in August, 2009. The aim of the event was to familiarize the new generation of PhD students and postdoctoral fellows with the principles and methods of modern lattice field theory, which aims to resolve fundamental, non-perturbative questions about QCD without uncontrolled approximations. The emphasis of the book is on the theoretical developments that have shaped the field in the last two decades and that have turned lattice gauge theory into a robust approach to the determination of low energy hadronic quantities and of fundamental parameters of the Standard Model. By way of introduction, the lectures begin by covering lattice theory basics, lattice renormalization and improvement, and the many faces of chirality. A later course introduces QCD at finite temperature and density. A broad view of lattice computation from the basics to recent developments was offered in a corresponding course. Extrapolations to physical quark masses and a framework for the parameterization of the low-energy physics by means of effective coupling constants is covered in a lecture on chiral perturbation theory. Heavy-quark effective theories, an essential tool for performing the relevant lattice calculations, is covered from its basics to recent advances. A number of shorter courses round out the book and broaden its purview. These included recent applications to the nucleon—nucleon interation and a course on physics beyond the Standard Model.