Uncertainty quantification in nuclear physics
Author : Maria Piarulli
Publisher : Frontiers Media SA
Page : 233 pages
File Size : 46,18 MB
Release : 2023-08-30
Category : Science
ISBN : 2832532098
Author : Maria Piarulli
Publisher : Frontiers Media SA
Page : 233 pages
File Size : 46,18 MB
Release : 2023-08-30
Category : Science
ISBN : 2832532098
Author : Huey-Wen Lin
Publisher : Springer
Page : 244 pages
File Size : 31,55 MB
Release : 2014-11-30
Category : Science
ISBN : 9783319080239
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.
Author : Thomas A Degrand
Publisher : World Scientific
Page : 363 pages
File Size : 10,46 MB
Release : 2006-09-27
Category : Science
ISBN : 9814478342
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
Author : Anthony M. Green
Publisher : World Scientific
Page : 385 pages
File Size : 25,57 MB
Release : 2004
Category : Science
ISBN : 9812701389
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.
Author : Xiang-Qian Luo
Publisher : World Scientific
Page : 320 pages
File Size : 48,17 MB
Release : 2001
Category : Science
ISBN : 9812811370
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.
Author : Yoshinobu Kuramashi
Publisher : World Scientific
Page : 323 pages
File Size : 26,21 MB
Release : 2007-12-13
Category : Science
ISBN : 9814477206
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.
Author :
Publisher :
Page : pages
File Size : 42,59 MB
Release : 2011
Category :
ISBN :
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.
Author : Takahiro Doi
Publisher : Springer
Page : 69 pages
File Size : 45,4 MB
Release : 2017-10-10
Category : Science
ISBN : 9811065969
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.
Author : A. G. Grozin
Publisher : World Scientific
Page : 239 pages
File Size : 45,50 MB
Release : 2007
Category : Science
ISBN : 9812569146
The increasing precision of experimental data in many areas of elementary particle physics requires an equally precise theoretical description. In particular, radiative corrections (described by one- and multi-loop Feynman diagrams) have to be considered. Although a growing number of physicists are involved in such projects, multi-loop calculation methods can only be studied from original publications. With its coverage of multi-loop calculations, this book serves as an excellent supplement to the standard textbooks on quantum field theory. Based around postgraduate-level lectures given by the author, the material is suitable for both beginners and graduate students.
Author : Yoshinobu Kuramashi
Publisher : World Scientific
Page : 323 pages
File Size : 29,9 MB
Release : 2007
Category : Science
ISBN : 9812790926
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."