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Taking the gauge invariant quark correlator as an example, in this work we perform a direct comparison of lattice QCD simulations with the QCD sum rule approach. The quark correlator is first investigated in the framework of QCD sum rules…

High Energy Physics - Phenomenology · Physics 2015-06-25 H. G. Dosch , M. Eidemuller , M. Jamin , E. Meggiolaro

Following a ground-breaking proposal by Ji~\cite{PhysRevLett.110.262002}, numerical simulations of Quantum Chromo Dynamics (QCD) on a Euclidean lattice have provided new, valuable information on the structure of hadrons. In this talk, we…

High Energy Physics - Lattice · Physics 2022-11-29 Luigi Del Debbio

These lectures provide an introduction to lattice methods for nonperturbative studies of Quantum Chromodynamics. Lecture 1 (Ch. 2): Basic techniques for QCD and results for hadron spectroscopy using the simplest discretizations; lecture 2…

High Energy Physics - Phenomenology · Physics 2016-09-06 T. DeGrand

This course consists of two lectures. In the first lecture I discuss why a non perturbative formulation of QCD is needed, and I show that lattice formulation copes with this need, even if it mainly produces numerical results. In the second…

High Energy Physics - Lattice · Physics 2009-11-07 A. Di Giacomo

The relativistic correction to the QCD static inter-quark potential at O(1/m) is investigated nonperturbatively for the first time by using lattice Monte Carlo QCD simulations. The correction is found to be comparable with the Coulombic…

High Energy Physics - Lattice · Physics 2007-05-23 Yoshiaki Koma , Miho Koma , Hartmut Wittig

I briefly introduce the methods by which lattice QCD predictions for RHIC are obtained. Next I deal with lattice determinations of strangeness production and event-to-event fluctuations of conserved quantities. I also present a new…

High Energy Physics - Phenomenology · Physics 2011-07-19 Sourendu Gupta

QCD at finite density presents specific challenges to lattice gauge theory. Nonetheless, a region of the QCD phase diagram up to moderately large baryon chemical potentials has been successfully explored on the lattice and new results and…

High Energy Physics - Lattice · Physics 2008-11-26 M. -P. Lombardo

We obtain a new value for the QCD coupling constant by combining lattice QCD simulations with experimental data for hadron masses. Our lattice analysis is the first to: 1) include vacuum polarization effects from all three light-quark…

High Energy Physics - Lattice · Physics 2009-11-11 Q. Mason , H. D. Trottier , C. T. H. Davies , K. Foley , A. Gray , G. P. Lepage , M. Nobes , J. Shigemitsu

We calculate the first moment of the photon structure function, $<x>^{\gamma}=\int^1_0 dx F^{\gamma}_2(x,Q^2)$, on the quenched lattices with $\beta=6.0$ using the formalism developed by the authors recently. In this exploratory study, we…

High Energy Physics - Lattice · Physics 2009-11-07 Xiangdong Ji , Chulwoo Jung

We present an update of BQCD, our Hybrid Monte Carlo program for simulating lattice QCD. BQCD is one of the main production codes of the QCDSF collaboration and is used by CSSM and in some Japanese finite temperature and finite density…

High Energy Physics - Lattice · Physics 2018-04-18 Taylor Ryan Haar , Yoshifumi Nakamura , Hinnerk Stüben

I begin by discussing the basic ideas of quantum field theory (QFT). I provide a review of symmetries in physics and then move on to discuss the quark model. I then review lattice gauge theory with particular attention paid to lattice QCD…

High Energy Physics - Lattice · Physics 2009-09-29 W Armour

We propose an improvement of the differential method for the computation of the equation of state of QCD from lattice simulations. In contrast to the earlier differential method our technique yields positive pressure for all temperatures…

High Energy Physics - Lattice · Physics 2015-06-25 Rajiv V. Gavai , Sourendu Gupta , Swagato Mukherjee

We study the critical slowing down towards the continuum limit of lattice QCD simulations with Hybrid Monte Carlo type algorithms. In particular for the squared topological charge we find it to be very severe with an effective dynamical…

High Energy Physics - Lattice · Physics 2011-01-04 Stefan Schaefer , Rainer Sommer , Francesco Virotta

We compute the static force on the lattice in the quenched case directly through generalized Wilson loops. We modify the Wilson loop by inserting an $E$-field component on one of the temporal Wilson lines. However, chromo-field components…

High Energy Physics - Lattice · Physics 2024-01-17 Julian Mayer-Steudte

We propose a way to improve the resolution of the spatial momentum and the time interval for hadron propagators utilizing the lattice geometry. We demonstrate the validity of the method presenting results for pseudoscalar meson energies…

High Energy Physics - Lattice · Physics 2018-08-03 Naoya Ukita , Ken-Ichi Ishikawa , Yoshinobu Kuramashi

There has been major progress in recent years in the development of improved discretizations of the QCD action, current operators, etc for use in numerical simulations that employ very coarse lattices. These lectures review the field…

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

Some aspects of recent QCDSF-UKQCD nucleon moments of structure function computations (both quenched and unquenched) are reviewed in an effort to explore the light quark mass regime, lattice spacing effects and quenching artefacts.

High Energy Physics - Lattice · Physics 2007-05-23 R. Horsley

We review various B meson decays that require knowledge of the transverse decay constant of the b1(1235) meson. We report on an exploratory lattice QCD calculation of the transverse decay constant of the b1 meson. The lattice QCD…

High Energy Physics - Lattice · Physics 2019-08-13 K. Jansen , C. McNeile , C. Michael , C. Urbach

Monte Carlo (MC) simulations of lattice models are a widely used way to compute thermodynamic properties of substitutional alloys. A limitation to their more widespread use is the difficulty of driving a MC simulation in order to obtain the…

Statistical Mechanics · Physics 2009-11-07 A. van de Walle , M. Asta

Lattice QCD should allow quantitative predictions for the heavy quark physics from first principles. Up to now, however, most approaches have based on the nonrelativistic effective theory, with which the continuum limit can not be taken in…

High Energy Physics - Lattice · Physics 2014-11-17 Sinya Aoki , Yoshinobu Kuramashi , Shin-ichi Tominaga