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Lattice Gauge Theory enables an ab initio study of the low-energy properties of Quantum Chromodynamics, the theory of the strong interaction. I begin these lectures by presenting the lattice formulation of QCD, and then outline the…

核理论 · 物理学 2017-08-23 D. G. Richards

We show how a variety of stable spatio-temporal periodic patterns can be created in 2D-lattices of coupled oscillators with non-homogeneous coupling delays. A "hybrid dispersion relation" is introduced, which allows studying the stability…

动力系统 · 数学 2017-10-31 Markus Kantner , Serhiy Yanchuk , Eckehard Schöll

After discussing results of dilepton rates and electrical conductivity obtained from continuum extrapolated results of light quark correlation functions in quenched QCD I will give a review on recent developments in lattice QCD studies for…

高能物理 - 格点 · 物理学 2012-08-21 O. Kaczmarek

Chiral random matrix theory makes very detailed predictions for the spectral correlations of the QCD Dirac operator, both in the bulk of the spectrum and near zero virtuality. These predictions have been successfully tested in lattice QCD…

高能物理 - 格点 · 物理学 2007-05-23 Tilo Wettig

We discuss the determination of deep-inelastic hadron structure in lattice QCD. By using a fictitious heavy quark, direct calculations of the Compton scattering tensor can be performed in Euclidean space that allow the extraction of the…

高能物理 - 格点 · 物理学 2008-11-26 William Detmold , C. -J. David Lin

Lattice simulations of hadronic structure are now reaching a level where they are able to not only complement, but also provide guidance to current and forthcoming experimental programmes at, e.g. Jefferson Lab, COMPASS/CERN and FAIR/GSI.…

高能物理 - 格点 · 物理学 2010-01-21 J. M. Zanotti

Gauge-invariant equal-time correlation functions are calculated in lattice QCD within the quenched approximation and with two dynamical quark species. These correlators provide information on the shape and multipole moments of the pion, the…

高能物理 - 格点 · 物理学 2009-11-07 C. Alexandrou , Ph. de Forcrand , A. Tsapalis

We present results for the spectrum of static-light mesons from Nf=2 lattice QCD. These results were obtained using all-to-all light quark propagators on an anisotropic lattice, yielding an improved signal resolution when compared to more…

高能物理 - 格点 · 物理学 2007-05-23 Justin Foley , Alan O Cais , Mike Peardon , Sinead M Ryan

It is well-known that molecular dynamics integrators, which are used for lattice quantum chromodynamics (QCD), suffer from instabilities and possess a rather low order of the accuracy. Hence, it is highly desirable to construct a new class…

数学物理 · 物理学 2012-01-12 Dmitry Shcherbakov , Matthias Ehrhardt

We review recent progress in studying spectral functions for mesonic observables at finite temperatures, by analysis of imaginary time correlators directly calculated on isotropic lattices. Special attention is paid to the lattice artifacts…

高能物理 - 格点 · 物理学 2009-11-10 S. Datta , F. Karsch , P. Petreczky , I. Wetzorke

We review the latest progress in lattice QCD calculations of the partonic structure of hadrons. This structure is, in particular, described in terms of $x$-dependent distributions, the simplest of which are the standard parton distribution…

高能物理 - 格点 · 物理学 2021-10-18 Krzysztof Cichy

We present our sparse modeling study to extract spectral functions from Euclidean-time correlation functions. In this study covariance between different Euclidean times of the correlation function is taken into account, which was not done…

高能物理 - 格点 · 物理学 2023-11-28 Junichi Takahashi , Hiroshi Ohno , Akio Tomiya

The pseudoscalar correlator is an ideal lattice probe for thermal modifications to quarkonium spectra, given that it is not compromised by a contribution from a large transport peak. We construct a perturbative spectral function…

高能物理 - 格点 · 物理学 2017-12-04 Y. Burnier , H. -T. Ding , O. Kaczmarek , A. -L. Kruse , M. Laine , H. Ohno , H. Sandmeyer

A general introduction to lattice QCD suitable for graduate students in experimental and theoretical particle physics. Aimed at those who want to know how lattice calculations are done, and what the pitfalls are, without having to do the…

高能物理 - 唯象学 · 物理学 2007-05-23 Christine Davies

We calculate the lattice dispersion relation for three dimensional simulations of scalar fields. We argue that the mode frequency of scalar fields on the lattice should not be treated as a function of the magnitude of its wavevector but…

高能物理 - 理论 · 物理学 2012-01-18 Nikitas Stamatopoulos

We investigate the connection of lattice calculations of moments of isovector parton distributions to the physical regime through extrapolations in the quark mass. We consider the one pion loop renormalisation of the nucleon matrix elements…

高能物理 - 格点 · 物理学 2009-11-07 W. Detmold , W. Melnitchouk , A. W. Thomas

The past few years have seen many interesting theoretical developments in lattice QCD. This talk (which is intended for non-experts) focuses on the problem of non-perturbative renormalization and the question of how precisely the continuum…

高能物理 - 唯象学 · 物理学 2007-05-23 M. Lüscher

Physical contribution of the high-energy part of hadronic spectrum is incorporated to describe the short-distance part of the correlator of heavy-quark currents obtained by quenched Monte-Carlo on a $8^3*16$- and $16^3*32$-lattices for…

高能物理 - 唯象学 · 物理学 2007-05-23 Alexander Bochkarev

Parton distribution functions are key quantities for us to understand the hadronic structures in high-energy scattering, but they are difficult to calculate from lattice QCD. Recent years have seen fast development of the large-momentum…

高能物理 - 唯象学 · 物理学 2019-04-29 Yong Zhao

Progress in calculating the spectrum of excited baryons and mesons in lattice QCD is described. Correlation matrices of sets of spatially-extended hadron operators have been studied and their effectiveness in facilitating the extraction of…

高能物理 - 格点 · 物理学 2010-12-01 Colin Morningstar , A. Bell , C. Y. Chen , D. Lenkner , C. H. Wong , J. Bulava , J. Foley , K. J. Juge , M. Peardon