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In theories with topological sectors, such as lattice QCD and four-dimensional SU(N) gauge theories with periodic boundary conditions, conventional update algorithms suffer from topological freezing due to large action barriers separating…

High Energy Physics - Lattice · Physics 2026-04-07 Timo Eichhorn , Gianluca Fuwa , Christian Hoelbling , Lukas Varnhorst

Progress on the calculation of the spectrum from lattice calculations is reviewed. Particular emphasis is placed on discussing our ability to control possible systematic errors coming from finite volume, and extrapolations in quark mass and…

High Energy Physics - Lattice · Physics 2009-10-28 Steven Gottlieb

It has been a big challenge for lattice QCD to simulate dynamical quarks near the chiral limit. Theoretically, it is well-known that the naive chiral symmetry cannot be realized on the lattice (the Nielsen-Ninomiya theorem). Also…

High Energy Physics - Lattice · Physics 2017-08-23 Hidenori Fukaya

The architecture and capabilities of the computers currently in use for large-scale lattice QCD calculations are described and compared. Based on this present experience, possible future directions are discussed.

High Energy Physics - Lattice · Physics 2015-06-25 Norman H. Christ

Developments in QCD at finite density are reviewed. I begin by discussing some new algorithms which have been applied to other theories with sign problems. Then I discuss the method of analytic continuation in QCD using a series expansion…

High Energy Physics - Lattice · Physics 2011-01-04 Sourendu Gupta

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…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Lüscher

This year lattice QCD has become very public. A new generation of simulations (including light dynamical quarks) have produced results which are in close agreement with many ``easy'' experimental quantities, and precise predictions for…

High Energy Physics - Phenomenology · Physics 2007-05-23 Thomas DeGrand

Lattice QCD was invented thirty years ago but only in the last few years has it finally fulfilled its promise as a precision tool for calculations in hadron physics. This review will cover the fundamentals of discretising QCD onto a…

High Energy Physics - Lattice · Physics 2007-05-23 Christine Davies

A remarkable progress has been made in the understanding of the hot and dense QCD matter using lattice gauge theory. The issues which are very well understood as well those which require both conceptual as well as algorithmic advances are…

High Energy Physics - Lattice · Physics 2014-11-21 Sayantan Sharma

In master-field simulations of lattice QCD, the expectation values of interest are obtained from a single or at most a few representative gauge-field configurations on very large lattices. If the light quarks are included, the generation of…

High Energy Physics - Lattice · Physics 2020-06-12 Anthony Francis , Patrick Fritzsch , Martin Lüscher , Antonio Rago

Simulation of Lattice QCD is a challenging computational problem. Currently, technological trends in computation show multiple divergent models of computation. We are witnessing homogeneous multi-core architectures, the use of accelerator…

High Energy Physics - Lattice · Physics 2008-08-13 K. Ibrahim , J. Jaeger , Z. Liu , L. N. Pouchet , P. Lesnicki , L. Djoudi , D. Barthou , F. Bodin , C. Eisenbeis , G. Grosdidier , O. Pene , P. Roudeau

The substantial progress that has been achieved in lattice QCD in the last years is pointed out. I compare the simulation cost and systematic effects of several lattice QCD formulations and discuss a number of topics such as lattice spacing…

High Energy Physics - Lattice · Physics 2009-12-04 Karl Jansen

These notes aim to provide a pedagogical introduction to Lattice QCD. The topics covered include the scope of LQCD calculations, lattice discretization of gauge and fermion (naive, Wilson, and staggered) actions, doubling problem, improved…

High Energy Physics - Lattice · Physics 2007-05-23 Rajan Gupta

In recent years there has been much progress on the investigation of the QCD phase diagram with lattice QCD simulations. In this review I focus on the developments in the last two years. Especially the addition of external influences or new…

High Energy Physics - Lattice · Physics 2021-02-17 Jana N. Guenther

The status of lattice calculations of heavy quark phenomenology is reviewed. Particular emphasis is placed on the understanding and control of the calculational uncertainties. The ensuing implications for constraining the CKM matrix…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sinead Ryan

Over the past few years new physics methods and algorithms as well as the latest supercomputers have enabled the study of the QCD thermodynamic phase transition using lattice gauge theory numerical simulations with unprecedented control…

High Energy Physics - Lattice · Physics 2015-10-28 R. A. Soltz , C. DeTar , F. Karsch , Swagato Mukherjee , P. Vranas

Recent applications of machine-learned normalizing flows to sampling in lattice field theory suggest that such methods may be able to mitigate critical slowing down and topological freezing. However, these demonstrations have been at the…

Algorithmic and technical progress achieved over the last few years makes QCD simulations with light dynamical quarks much faster than before. As a result lattices with pions as light as 250--300 MeV can be simulated with the present…

High Energy Physics - Lattice · Physics 2009-04-14 Leonardo Giusti

I review recent machine trends and algorithmic developments for dynamical lattice QCD simulations with the HMC algorithm for Wilson-type fermions. The topics include the trend toward multi-core processors and general purpose GPU (GPGPU)…

High Energy Physics - Lattice · Physics 2010-01-21 Ken-Ichi Ishikawa

This is the Lattice '95 review of recent progress towards accurate QCD simulations using very coarse lattices. This development could have revolutionary implications for low energy (nonperturbative) QCD.

High Energy Physics - Lattice · Physics 2009-10-28 Peter Lepage