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The lattice gauge theory technique for non-perturbative calculations in QCD is reviewed. The extraction of the continuum limit of lattice results is discussed with particular examples appropriate to hadron spectroscopy (the light hadrons…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. Michael

Determining the hadron spectrum and hadron properties beyond the ground states is a challenge in lattice QCD. Most of these results have been in the quenched approximation but now we are entering the dynamical era. I review some of the…

Nuclear Theory · Physics 2008-11-26 C. B. Lang

Lattice quantum chromodynamics (QCD) will soon become the primary theoretical tool in rigorous studies of single- and multi-hadron sectors of QCD. It is truly ab initio meaning that its only parameters are those of standard model. The…

High Energy Physics - Lattice · Physics 2014-09-09 Zohreh Davoudi

We present an overview of recent efforts to calculate the interactions among hadrons using lattice QCD. After outlining the techniques that are used to extract scattering parameters, we detail the latest calculations of meson-meson…

High Energy Physics - Lattice · Physics 2008-12-18 Silas R. Beane , Kostas Orginos , Martin J. Savage

We compute the sphaleron rate on the lattice from the inversion of the Euclidean time correlators of the topological charge density, performing also controlled continuum and zero-smoothing extrapolations. The correlator inversion is…

High Energy Physics - Lattice · Physics 2023-09-26 Claudio Bonanno , Francesco D'Angelo , Massimo D'Elia , Lorenzo Maio , Manuel Naviglio

Isospin symmetry is explicitly broken in the Standard Model by the mass and electric charge of the up and down quarks. These effects represent a perturbation of hadronic amplitudes at the percent level. Although these contributions are…

High Energy Physics - Lattice · Physics 2015-05-27 Antonin Portelli

A major objective of lattice QCD is the computation of hadronic matrix elements. The standard method is to use three-point and four-point correlation functions. An alternative approach, requiring only the computation of two-point…

High Energy Physics - Lattice · Physics 2022-01-21 K. U. Can , A. Hannaford-Gunn , R. Horsley , Y. Nakamura , H. Perlt , P. E. L. Rakow , E. Sankey , G. Schierholz , H. Stüben , R. D. Young , J. M. Zanotti

We present an efficient method for extracting energy levels from lattice QCD correlation functions by computing the eigenvalues of the transfer matrix associated with the lattice QCD Hamiltonian. While mathematically and numerically…

High Energy Physics - Lattice · Physics 2025-06-25 Debsubhra Chakraborty , Dhruv Sood , Archana Radhakrishnan , Nilmani Mathur

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…

High Energy Physics - Lattice · Physics 2008-11-26 William Detmold , C. -J. David Lin

Inclusive and semi-inclusive deep inelastic leptoproduction offers possibilities to study details of the quark and gluon structure of the hadrons involved. In many of these experiments polarization is an essential ingredient. We also…

Nuclear Theory · Physics 2007-05-23 P. J. Mulders

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

Recent progresses of lattice QCD studies for hadron spectroscopy and interactions are briefly reviewed. Some emphasis are given on a new proposal for a method, which enable us to calculate potentials between hadrons. As an example of the…

High Energy Physics - Lattice · Physics 2014-02-14 Sinya Aoki

The inclusive tau lepton hadronic decay and its description within Dispersive approach to Quantum Chromodynamics are briefly discussed.

High Energy Physics - Phenomenology · Physics 2016-04-26 A. V. Nesterenko

Lattice QCD calculations of inclusive semileptonic decay rates involve new types of systematic effects, such as truncation errors in the estimation of energy integrals, or finite-volume effects for multi-body final states. We investigate…

High Energy Physics - Lattice · Physics 2025-04-07 Ryan Kellermann , Alessandro Barone , Ahmed Elgaziari , Shoji Hashimoto , Zhi Hu , Andreas Jüttner , Takashi Kaneko

Isospin symmetry is not exact and the corrections to the isosymmetric limit are, in general, at the percent level. For gold plated quantities, such as pseudoscalar meson masses or the kaon leptonic and semileptonic decay rates, these…

High Energy Physics - Lattice · Physics 2013-11-13 Nazario Tantalo

Recent developments in lattice QCD calculation of flavor singlet nucleon matrix elements are reviewed. Substantial sea quark contributions are found in the $\pi$-$N\ \sigma$ term and the quark spin content of the nucleon such that the total…

High Energy Physics - Lattice · Physics 2009-10-28 Masanori Okawa

In quantum chromodynamics (QCD) at nonzero chemical potential, the eigenvalues of the Dirac operator are scattered in the complex plane. Can the fluctuation properties of the Dirac spectrum be described by universal predictions of…

High Energy Physics - Lattice · Physics 2009-10-31 H. Markum , R. Pullirsch , T. Wettig

This is a review of hadron structure physics from lattice QCD. Throughout this report, we place emphasis on the contribution of lattice results to our understanding of a number of fundamental physics questions related to, e.g., the origin…

High Energy Physics - Lattice · Physics 2010-04-29 Ph. Hägler

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…

High Energy Physics - Lattice · Physics 2023-11-28 Junichi Takahashi , Hiroshi Ohno , Akio Tomiya

Lattice calculation may play an important role to understand the cause of the long-standing puzzle among the determination of $|V_{cb}|$. The key element is the computation of the inclusive decay rate, for which the formalism is under…

High Energy Physics - Lattice · Physics 2024-06-10 Shoji Hashimoto