Uncertainty Quantification in Lattice QCD Calculations for Nuclear Physics

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (94 download)

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Book Synopsis Uncertainty Quantification in Lattice QCD Calculations for Nuclear Physics by :

Download or read book Uncertainty Quantification in Lattice QCD Calculations for Nuclear Physics written by and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The numerical technique of Lattice QCD holds the promise of connecting the nuclear forces, nuclei, the spectrum and structure of hadrons, and the properties of matter under extreme conditions with the underlying theory of the strong interactions, quantum chromodynamics. A distinguishing, and thus far unique, feature of this formulation is that all of the associated uncertainties, both statistical and systematic can, in principle, be systematically reduced to any desired precision with sufficient computational and human resources. As a result, we review the sources of uncertainty inherent in Lattice QCD calculations for nuclear physics, and discuss how each is quantified in current efforts.

Uncertainty quantification in nuclear physics

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Publisher : Frontiers Media SA
ISBN 13 : 2832532098
Total Pages : 233 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Uncertainty quantification in nuclear physics by : Maria Piarulli

Download or read book Uncertainty quantification in nuclear physics written by Maria Piarulli and published by Frontiers Media SA. This book was released on 2023-08-30 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lattice QCD for Nuclear Physics

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Publisher : Springer
ISBN 13 : 9783319080239
Total Pages : 244 pages
Book Rating : 4.0/5 (82 download)

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Book Synopsis Lattice QCD for Nuclear Physics by : Huey-Wen Lin

Download or read book Lattice QCD for Nuclear Physics written by Huey-Wen Lin and published by Springer. This book was released on 2014-11-30 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Hadronic Physics From Lattice Qcd

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Publisher : World Scientific
ISBN 13 : 9814481920
Total Pages : 385 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Hadronic Physics From Lattice Qcd by : Anthony M Green

Download or read book Hadronic Physics From Lattice Qcd written by Anthony M Green and published by World Scientific. This book was released on 2004-10-07 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Non-perturbative Methods and Lattice QCD

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Publisher : World Scientific
ISBN 13 : 9812811370
Total Pages : 320 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Non-perturbative Methods and Lattice QCD by : Xiang-Qian Luo

Download or read book Non-perturbative Methods and Lattice QCD written by Xiang-Qian Luo and published by World Scientific. This book was released on 2001 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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

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Publisher : OUP Oxford
ISBN 13 : 0191621269
Total Pages : 760 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance Computing by : Laurent Lellouch

Download or read book Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance Computing written by Laurent Lellouch and published by OUP Oxford. This book was released on 2011-08-25 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Perspectives In Lattice Qcd - Proceedings Of The Workshop

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Publisher : World Scientific
ISBN 13 : 9814477206
Total Pages : 323 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Perspectives In Lattice Qcd - Proceedings Of The Workshop by : Yoshinobu Kuramashi

Download or read book Perspectives In Lattice Qcd - Proceedings Of The Workshop written by Yoshinobu Kuramashi and published by World Scientific. This book was released on 2007-12-13 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of a series of lectures to cover every facet of the modern version of lattice QCD. All the lectures are self-contained starting with the necessary background material and ending up with the latest development. Most of the lectures are given by pioneers in the field.This book may be useful as an advanced textbook for graduate students in particle physics and its modern and fascinating contents will inspire the interest of the non-experts.

Lattice QCD and the Jefferson Laboratory Program

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (946 download)

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Book Synopsis Lattice QCD and the Jefferson Laboratory Program by :

Download or read book Lattice QCD and the Jefferson Laboratory Program written by and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Lattice gauge theory provides our only means of performing \textit{ab initio} calculations in the non-perturbative regime. It has thus become an increasing important component of the Jefferson Laboratory physics program. In this paper, we describe the contributions of lattice QCD to our understanding of hadronic and nuclear physics, focusing on the structure of hadrons, the calculation of the spectrum and properties of resonances, and finally on deriving an understanding of the QCD origin of nuclear forces.

Perspectives in Lattice QCD

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Publisher : World Scientific
ISBN 13 : 9812790926
Total Pages : 323 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Perspectives in Lattice QCD by : Yoshinobu Kuramashi

Download or read book Perspectives in Lattice QCD written by Yoshinobu Kuramashi and published by World Scientific. This book was released on 2007 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This novel book introduces cellular automata from a rigorous nonlinear dynamics perspective. It supplies the missing link between nonlinear differential and difference equations to discrete symbolic analysis. The book provides a scientifically sound and original analysis, and classifications of the empirical results presented in Wolfram's monumental "New Kind of Science."

On the Determination of Elastic and Inelastic Nuclear Observables from Lattice QCD

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Publisher :
ISBN 13 :
Total Pages : 169 pages
Book Rating : 4.:/5 (881 download)

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Book Synopsis On the Determination of Elastic and Inelastic Nuclear Observables from Lattice QCD by : Raúl A. Briceño

Download or read book On the Determination of Elastic and Inelastic Nuclear Observables from Lattice QCD written by Raúl A. Briceño and published by . This book was released on 2013 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the overarching goals of nuclear physics is to rigorously compute properties of hadronic systems directly from the fundamental theory of the strong interaction, Quantum Chromodynamics (QCD). In particular, the hope is to perform reliable calculations of nuclear processes which would impact our understanding of environments ranging from big bang nucleosynthesis, stars and supernovae, to nuclear reactors and high-energy density facilities. Such calculations, being truly ab-initio, would include all two-nucleon and three-nucleon (and higher) interactions in a consistent manner. Currently, lattice QCD (LQCD) provides the only reliable option for performing calculations of low-energy hadronic observables. LQCD calculations are necessarily performed in a finite Euclidean spacetime. As a result, it is necessary to construct formalism that maps the finite-volume observables determined via LQCD to the infinite-volume quantities of interest. For 2 --> 2 bosonic elastic scattering processes, Martin Luscher first showed that one can obtain the physical scattering phase shifts from the finite volume (FV) two-particle spectrum (for lattices with spatial extents that are much larger than the range of interactions). This thesis discusses the extension of this formalism for three important classes of systems. Chapter 1 discusses key aspects of the standard model, paying close attention to QCD at low-energies and the necessity of effective field theories (EFTs) and LQCD. Chapter 2 reviews the result by Luscher for two bosons with arbitrary momentum. After a detailed derivation of the quantization condition for two bosons below the inelastic threshold, it is straightforward to determine the spectrum of a system with arbitrary number of channels composed of two hadrons with nonzero total momentum. In Section 2.3, Luscher's result is re-derived using the auxilary field formalism, also known as the "dimer formalism". Chapter 3 briefly reviews the complexity of the nuclear sector, as compared to the scalar sector, and it shown that this rich structure can be recovered by the generalization of the auxilary field formalism for the two nucleon system. Using this formalism, the quantization condition for two non-relativistic nucleons1 in a finite volume is derived. The result presented hold for a two nucleon system with arbitrary partial-waves, spin and parity. Provided are the explicit relations among scattering parameters and their corresponding point group symmetry class eigenenergies with orbital angular momentum l [less than or equal to] 4. Finally, Chapter 4 presents the quantization condition for the spectrum of three identical bosons in a finite volume. Unlike the two-body analogue, the quantization condition of the three-body sector is not algebraic and in general requires numerically solving an integral equation. However, for systems with an attractive two-body force that supports a twobody bound-state, a diboson, and for energies below the diboson breakup, the quantization condition reduces to the well-known Luscher formula with exponential corrections in volume that scale with the diboson binding momentum. To accurately determine infinite volume phase shifts, it is necessary to extrapolate the phase shifts obtained from the Luscher formula for the boson-diboson system to the infinite volume limit. For energies above the breakup threshold, or for systems with no two-body bound-state (with only scattering states and resonances) the Luscher formula gets power-law volume corrections and consequently fails to describe the three-particle system. These corrections are nonperturbatively included in the quantization condition presented.

The Deconfinement Transition of QCD

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Publisher : Springer Nature
ISBN 13 : 3030672352
Total Pages : 224 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis The Deconfinement Transition of QCD by : Claudia Ratti

Download or read book The Deconfinement Transition of QCD written by Claudia Ratti and published by Springer Nature. This book was released on 2021-06-14 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last few years, numerical simulations of QCD on the lattice have reached a new level of accuracy. A wide range of thermodynamic quantities is now available in the continuum limit and for physical quark masses. This allows a comparison with measurements from heavy ion collisions for the first time. Furthermore, calculations of dynamical quantities are also becoming available. The combined effort from first principles and experiment allows to gain an unprecedented understanding of the properties of quark-gluon plasma. This concise text, geared towards postgraduate students and newcomers to the field, carefully introduces and reviews the state-of-the-art techniques and results from lattice simulations and connects them to the experimental information from RHIC and the LHC. ​

Lattice QCD at Strong Coupling

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Publisher :
ISBN 13 :
Total Pages : 130 pages
Book Rating : 4.:/5 (732 download)

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Book Synopsis Lattice QCD at Strong Coupling by : Michael Fromm

Download or read book Lattice QCD at Strong Coupling written by Michael Fromm and published by . This book was released on 2010 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lattice QCD and Nuclear Physics

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (276 download)

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Book Synopsis Lattice QCD and Nuclear Physics by : John W. Negele

Download or read book Lattice QCD and Nuclear Physics written by John W. Negele and published by . This book was released on 1992 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

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

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Publisher : Springer
ISBN 13 : 9789811065958
Total Pages : 59 pages
Book Rating : 4.0/5 (659 download)

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Book Synopsis Lattice QCD Study for the Relation Between Confinement and Chiral Symmetry Breaking by : Takahiro Doi

Download or read book Lattice QCD Study for the Relation Between Confinement and Chiral Symmetry Breaking written by Takahiro Doi and published by Springer. This book was released on 2017-10-27 with total page 59 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Long-Lasting Quest for Nuclear Interactions: The Past, the Present and the Future

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Publisher : Frontiers Media SA
ISBN 13 : 2889663485
Total Pages : 373 pages
Book Rating : 4.8/5 (896 download)

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Book Synopsis The Long-Lasting Quest for Nuclear Interactions: The Past, the Present and the Future by : Laura Elisa Marcucci

Download or read book The Long-Lasting Quest for Nuclear Interactions: The Past, the Present and the Future written by Laura Elisa Marcucci and published by Frontiers Media SA. This book was released on 2021-01-05 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nuclear Physics from Lattice QCD.

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis Nuclear Physics from Lattice QCD. by :

Download or read book Nuclear Physics from Lattice QCD. written by and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the final report for this project.

Lattice QCD and Nuclear Physics

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (727 download)

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Book Synopsis Lattice QCD and Nuclear Physics by :

Download or read book Lattice QCD and Nuclear Physics written by and published by . This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.