Download or read book Formal Developments for Lattice QCD with Applications to Hadronic Systems written by Zohreh Davoudi and published by . This book was released on 2014 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: In order to make reliable predictions with controlled uncertainties for a wide range of nuclear phenomena, a theoretical bottom-up approach, by which hadrons emerge from the underlying theory of strong interactions, quantum chromodynamics (QCD), is desired. The strongly interacting quarks and gluons at low energies are responsible for all the dynamics of nucleons and their clusters, the nuclei. The theoretical framework and the combination of analytical and numerical tools used to carry out a rigorous non-perturbative study of these systems from QCD is called lattice QCD. The result of a lattice QCD calculation corresponds to that of nature only in the limit when the volume of the spacetime is taken to infinity and the spacing between discretized points on the lattice is taken to zero. A better understanding of these discretization and volume effects, not only provides the connection to the infinite-volume continuum observables, but also leads to optimized calculations that can be performed with available computational resources. This thesis includes various formal developments in this direction, along with proposals for novel improvements, to be used in the upcoming LQCD studies of nuclear and hadronic systems. As the space(time) is discretized on a (hyper)cubic lattice in (most of) lattice QCD calculations, the lattice correlation functions are not fully rotationally invariant. This is known to lead to mixing between operators (those interpolating the states or inserting external currents) of higher dimensions with those of lower dimensions where the coefficients of latter diverge with powers of inverse lattice spacing, a, as the continuum limit is approached. This issue has long posed computational challenges in lattice spectroscopy of higher spin states, as well as in the lattice extractions of higher moments of hadron structure functions. We have shown, through analytical perturbative investigations of field theories, including QCD, on the lattice that a novel choice of operators, smeared over several lattice sites and deduced from a continuum angular momentum, has a smooth continuum limit. The scaling of the lower dimensional operators is proven to be no worse than a squared, explaining the success of recent numerical studies of excited state spectroscopy of hadrons with similar choices of operators. These results are presented in chapter 2 of this thesis. Due to Euclidean nature of lattice correlation function, the physical scattering parameters must be obtained via an analytical continuation to Minkowski spacetime. However, this continuation is practically impossible in the infinite-volume limit of lattice correlation function except at the kinematic thresholds. A formalism due to Luscher overcomes this issue by making the connection between the finite-volume spectrum of two interacting particles and their infinite-volume scattering phase shifts. We have extended the Luscher methodology, using an effective field theory approach, to the two-nucleon systems with arbitrary spin, parity and total momentum (in the limit of exact isospin symmetry) and have studied its application to the deuteron system, the lightest bound states of the nucleons, by careful analysis of the finite-volume symmetries. A proposal is presented that enables future precision lattice QCD extraction of the small D/S ratio of the deuteron that is known to be due to the action of non-central forces. By investigating another scenario, we show how significant volume improvement can be achieved in the masses of nucleons and in the binding energy of the deuteron with certain choices of boundary conditions in a lattice QCD calculation of these quantities. These results are discussed in chapters 3, 4 and 5. In order to account for electromagnetic effects in hadronic systems, lattice QCD calculations have started to include quantum electrodynamic (QED). These effects are particularly interesting in studies of mass splittings between charged and neutral members of isospin multiplets, e.g. neutral and charged pions. Due to the infinite range of QED interactions large volume effects plaque these studies. Using a non-relativistic effective theory for electromagnetic interactions of hadrons, we analytically calculate, and numerically estimate, the first few finite-volume corrections (up to 1 over L to the 4th power where L is the spatial extent of the volume) to the masses of hadrons and nuclei at leading order in the QED coupling constant, but to all orders in the short-distance strong interaction effects. These results are presented in chapter 6.
Download or read book Lattice Hadron Physics written by Alex Kalloniatis and published by Springer Science & Business Media. This book was released on 2005-05-20 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lattice Hadron Physics draws upon the developments made in recent years in implementing chirality on the lattice via the overlap formalism. These developments exploit chiral effective field theory in order to extrapolate lattice results to physical quark masses, new forms of improving operators to remove lattice artefacts, analytical studies of finite-volume effects in hadronic observables, and state-of-the-art lattice calculations of excited resonances. This volume, comprised of selected lectures, is designed to assist those outside the field who want quickly to become literate in these topics. As such, it provides graduate students and experienced researchers in other areas of hadronic physics with the background through which they can appreciate, if not become active in, contemporary lattice-gauge theory and its applications to hadronic phenomena.
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.
Download or read book Lattice Hadron Physics written by Alex Kalloniatis and published by Springer. This book was released on 2009-09-02 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lattice Hadron Physics draws upon the developments made in recent years in implementing chirality on the lattice via the overlap formalism. These developments exploit chiral effective field theory in order to extrapolate lattice results to physical quark masses, new forms of improving operators to remove lattice artefacts, analytical studies of finite-volume effects in hadronic observables, and state-of-the-art lattice calculations of excited resonances. This volume, comprised of selected lectures, is designed to assist those outside the field who want quickly to become literate in these topics. As such, it provides graduate students and experienced researchers in other areas of hadronic physics with the background through which they can appreciate, if not become active in, contemporary lattice-gauge theory and its applications to hadronic phenomena.
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 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.
Download or read book Lepton Scattering Hadrons And Qcd Procs Of The Workshop written by W Melnitchouk and published by World Scientific. This book was released on 2001-10-19 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is centered on recent developments in the exploration of hadronic structure through lepton scattering, in the description of hadron physics directly from lattice QCD and non-perturbative QCD models, and in efforts to strengthen the links between these activities. Specific topics that are covered include: parton distribution functions, polarized structure functions, generalized structure functions, nuclear effects, quark-hadron duality, electromagnetic form factors, structure functions and hadron properties from lattice QCD, and QCD models based on the Dyson-Schwinger equations.
Download or read book Applications of Lattice QCD to Hadronic CP Violation written by David Brantley and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
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.
Download or read book Proceedings of the Workshop on Lepton Scattering Hadrons and QCD written by Wally Melnitchouk and published by World Scientific. This book was released on 2001 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is centered on recent developments in the exploration of hadronic structure through lepton scattering, in the description of hadron physics directly from lattice QCD and non-perturbative QCD models, and in efforts to strengthen the links between these activities. Specific topics that are covered include: parton distribution functions, polarized structure functions, generalized structure functions, nuclear effects, quark-hadron duality, electromagnetic form factors, structure functions and hadron properties from lattice QCD, and QCD models based on the DysonOCoSchwinger equations. Contents: Partonic Structure of Hadrons: Chiral Extrapolation of Lattice Structure Function Calculations (W Detmold); Exclusive Processes at HERMES (N Bianchi); Soft Pion Production Associated with Deeply Virtual Compton Scattering (L Mosse); Spin Structure of Hadrons: Polarized Structure Functions in QCD (J Kodaira); Single Spin Asymmetries and Quark Fragmentation (M Anselmino et al.); Perturbative OCo Nonperturbative QCD Transition: Lepton Scattering and Quark-Hadron Duality Studies at Jlab (R Ent); Estimating Low Energy Model Parameters from Deep Inelastic Scattering (L P Hoyt & A I Signal); Form Factors: Physical Hadron Properties from Lattice Data at Large Quark Masses (A W Thomas); Electromagnetic Interactions in Light Front Dynamics (J -F Mathiot); Nucleon Form Factors in the Covariant Diquark-Quark Model (R Alkofer & M Oettel); Hadron Excitations, Confinement and Chiral Symmetry Breaking: Experimental Studies of the Hadron Spectrum (J Napolitano); The Character of Goldstone Bosons (M B Hecht et al.); Deconfining by Winding (R Hofmann); Small- x Physics and Nuclear Medium Effects: Leading Nucleon Production at HERA (G Levman); Nuclear Medium Effects at HERMES (P di Nezza); Physics Motivation for a Polarized Electron-Ion Collider (J M Cameron & J T Londergan); and other papers. Readership: Theoretical and experimental researchers in nuclear and high energy physics."
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.
Download or read book Multi hadron Systems in Lattice QCD written by and published by . This book was released on 2009 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Lattice QCD is currently entering the stage when it can usefully be applied to systems of multiple hadrons. I briefly review the status of recent calculations of scattering parameters in the two hadron sector and discuss recent calculations of systems composed of many mesons or baryons. In the mesonic case, the NPLQCD collaboration has continued its study of systems of up to twelve pions or kaons and have computed the effect of such a hadronic medium on the static quark potential. High statistics calculations on anisotropic lattices have allowed for precision extraction of the energies and scattering phase shifts of various two baryon systems and, for the first time, the energies of certain three baryon systems have been computed.
Download or read book Requirements for High Performance Computing for Lattice QCD written by Fred Jegerlehner and published by . This book was released on 2000 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Investigation of Hadron Matter Using Lattice QCD and Implementation of Lattice QCD Applications on Heterogeneous Multicore Acceleration Processors written by Frank Winter and published by . This book was released on 2011 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Energy and Cost efficient Lattice QCD Computations Using Graphics Processing Units written by Matthias Bach and published by . This book was released on 2014 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book New Developments in Lattice QCD written by Masanori Okawa and published by . This book was released on 1995 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Stochastic Laplacian Heaviside Method in Lattice QCD and Its First Applications to Hadron Spectroscopy written by Chik Him Wong and published by . This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
