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We investigate the nonperturbative renormalisation of composite operators in lattice QCD restricting ourselves to operators that are bilinear in the quark fields. These include operators which are relevant to the calculation of moments of…

High Energy Physics - Lattice · Physics 2008-11-26 M. Gockeler , R. Horsley , H. Oelrich , H. Perlt , D. Petters , P. E. L. Rakow , A. Schafer , G. Schierholz , A. Schiller

A numerical simulation algorithm for lattice QCD is described, in which the short- and long-distance effects of the sea quarks are treated separately. The algorithm can be regarded, to some extent, as an implementation at the quantum level…

High Energy Physics - Lattice · Physics 2014-11-17 Martin Lüscher

We investigate the phase diagram of QCD with heavy quarks at finite temperature and chemical potential in the context of background field methods. In particular, we use a massive extension of the Landau-DeWitt gauge which is motivated by…

High Energy Physics - Theory · Physics 2015-07-09 Urko Reinosa , Julien Serreau , Matthieu Tissier

Precision tests of QCD perturbation theory are not readily available from experimental data. The main reasons are systematic uncertainties due to the confinement of quarks and gluons, as well as kinematical constraints which limit the…

High Energy Physics - Lattice · Physics 2017-04-05 Stefan Sint

We propose a regression algorithm that utilizes a learned dictionary optimized for sparse inference on a D-Wave quantum annealer. In this regression algorithm, we concatenate the independent and dependent variables as a combined vector, and…

Quantum Physics · Physics 2021-01-05 Nga T. T. Nguyen , Garrett T. Kenyon , Boram Yoon

Chiral dynamics makes definitive predictions for the electromagnetic polarizabilities of hadrons near the chiral limit; but, agreement with experiment is tenuous in some cases. We provide an overview of lattice QCD methods to compute the…

High Energy Physics - Lattice · Physics 2013-01-22 B. C. Tiburzi

Recent lattice-QCD results for the dressed-gluon propagator are used within the quark Dyson-Schwinger equation to determine the gluon-quark vertex dressing necessary to reproduce the lattice-QCD results for the dressed-quark propagator.…

Nuclear Theory · Physics 2009-11-11 M. S. Bhagwat , P. C. Tandy

We present the first complete next-to-next-to-next-to-leading-order calculation of the matching coefficients that link unpolarized flavor non-singlet parton distribution functions with lattice QCD computable correlation functions. By using…

High Energy Physics - Phenomenology · Physics 2024-10-11 Chen Cheng , Li-Hong Huang , Xiang Li , Zheng-Yang Li , Yan-Qing Ma

We present a determination of the strange quark mass using lattice QCD. Particular focus is put on the definition and renormalization of the mass. The latter is done non-perturbatively, using a recursive finite-size scaling technique. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 Francesco Knechtli

We calculate results for K to pi and K to 0 matrix elements to next-to-leading order in 2+1 flavor partially quenched chiral perturbation theory. Results are presented for both the Delta I=1/2 and 3/2 channels, for chiral operators…

High Energy Physics - Lattice · Physics 2009-02-23 C. Aubin , J. Laiho , S. Li , M. F. Lin

We use the recently proposed directed-path algorithm to study the chiral limit of strongly coupled lattice QCD with staggered quarks at finite temperatures. The new algorithm allows us to compute the chiral susceptibility and the pion decay…

High Energy Physics - Lattice · Physics 2009-11-10 Shailesh Chandrasekharan , Fu-Jiun Jiang

We report on calculations of the charmonium and bottomonium spectrum in lattice QCD. We use ensembles of gauge fields with three flavors of sea quarks, simulated with the asqtad improved action for staggered fermions. For the heavy quarks…

An algorithm to simulate full QCD with 3 colours at nonzero chemical potential on the lattice is proposed. The algorithm works for small values of the chemical potential and can be used to extract expectation values of CPT invariant…

High Energy Physics - Lattice · Physics 2016-09-01 B. Alles , E. M. Moroni

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

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

I review the lattice formulations of vector-like gauge theories (e.g. QCD) with domain-wall/overlap fermions, and discuss how to optimize the chiral symmetry for any finite $ N_s $ (sites in the fifth dimension). In this formulation, quark…

High Energy Physics - Lattice · Physics 2011-02-16 Ting-Wai Chiu

We review the long term project of the ALPHA collaboration to compute in QCD the running coupling constant and quark masses at high energy scales in terms of low energy hadronic quantities. The adapted techniques required to numerically…

High Energy Physics - Lattice · Physics 2015-01-09 Rainer Sommer , Ulli Wolff

The study of excited hadron spectra using Lattice QCD is currently evolving. An important step toward obtaining resonance parameters from Lattice QCD is the calculation of finite volume energy spectra. Somewhat more rigorous studies of…

High Energy Physics - Lattice · Physics 2011-12-07 John Bulava

The development of improved algorithms for QCD on the lattice has enabled us to do calculations at small quark masses and get control over the chiral extrapolation. Also finer lattices have become possible, however, a severe slowing down…

High Energy Physics - Phenomenology · Physics 2011-07-28 Stefan Schaefer

A strategy to compute inclusive hadronic processes in lattice QCD is discussed. The key idea is to view the inclusive decay or scattering rate as a smeared spectrum. The Euclidean time dependence of correlators obtained on the lattice can…

High Energy Physics - Lattice · Physics 2025-04-01 Shoji Hashimoto