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We present a calculation of magnetic moments for selected spin-1 mesons using the techniques of lattice QCD. This is carried out by introducing progressively small static magnetic field on the lattice and measuring the linear response of a…

High Energy Physics - Lattice · Physics 2008-11-26 F. X. Lee , S. Moerschbacher , W. Wilcox

The leptonic decay of charged pions is investigated in the presence of background magnetic fields. In this situation Lorentz symmetry is broken and new fundamental decay constants need to be introduced, associated with the decay via the…

High Energy Physics - Lattice · Physics 2018-08-22 Gunnar S. Bali , Bastian B. Brandt , Gergely Endrodi , Benjamin Glaessle

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…

Nuclear Theory · Physics 2017-08-23 D. G. Richards

Lattice simulations are the only viable way to obtain ab-initio Quantum Chromodynamics (QCD) predictions for low energy nuclear physics. These calculations are done, however, in a finite box and therefore extrapolation is needed to get the…

Nuclear Theory · Physics 2020-11-04 Moti Eliyahu , Betzalel Bazak , Nir Barnea

Drawing on experimental data for baryon resonances, Hamiltonian effective field theory (HEFT) is used to predict the positions of the finite-volume energy levels to be observed in lattice QCD simulations. We have studied the low-lying…

Light-cone Fock-state wavefunctions encode the properties of a hadron in terms of its fundamental quark and gluon degrees of freedom. A recent experiment at Fermilab, E791, demonstrates that the color coherence and shape of light-cone…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stanley J. Brodsky

This is an introductory review of lattice QCD with external fields. The study of external magnetic fields is one of the greatest achievements in modern lattice QCD. Large-scale simulations and detailed analyses have revealed intriguing…

High Energy Physics - Lattice · Physics 2021-06-30 Arata Yamamoto

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

We describe a new technique (published in Phys. Rev. D89 114501) to determine the contribution to the anomalous magnetic moment of the muon coming from the hadronic vacuum polarisation using lattice QCD. Our method uses Pad\'e approximants…

The magnetic moments, magnetic form factors, and transition magnetic form factors of doubly charmed baryons are studied within heavy baryon chiral perturbation theory. We regulate the loop integrals using the finite-range regularization.…

High Energy Physics - Phenomenology · Physics 2025-07-11 Jiong-Jiong Liu , Zhan-Wei Liu , Xiu-Lei Ren , Yu Zhuge

Lattice QCD has become a crucial tool for studying hadron-hadron interactions from first principles. However, significant challenges arise when extracting infinite-volume scattering parameters from finite-volume energy levels using the…

High Energy Physics - Lattice · Physics 2025-04-03 Lu Meng

Chiral perturbation theory (CPT), the low-energy effective theory of QCD, can be used to describe QCD observables in the low-energy region in a model-independent way. At any given order in the chiral expansion, CPT introduces a finite…

High Energy Physics - Lattice · Physics 2007-05-23 Daniel Arndt

This chapter provides a pedagogical introduction to theoretical studies of hadrons based on the fundamental theory of strong interactions - Quantum ChromoDynamics. A perturbative expansion in the strong coupling is not applicable at…

High Energy Physics - Lattice · Physics 2025-05-16 Sasa Prelovsek

Heavy quarks placed within a hot QCD medium undergo Brownian motion, characterized by specific transport coefficients. Their determination can be simplified by expanding them in $T/M$, where $T$ is the temperature and $M$ is a heavy quark…

High Energy Physics - Lattice · Physics 2022-08-15 D. Banerjee , S. Datta , M. Laine

In this work, we present a first-principles lattice-QCD calculation of the unpolarized quark PDF for the pion and the kaon. The lattice data rely on matrix elements calculated for boosted mesons coupled to non-local operators containing a…

High Energy Physics - Lattice · Physics 2026-05-20 Joshua Miller , Joseph Torsiello , Isaac Anderson , Krzysztof Cichy , Martha Constantinou , Joseph Delmar , Sarah Lampreich

A method for computing electromagnetic properties of hadrons in lattice QCD is described. The electromagnetic field is introduced dynamically, using a noncompact formulation. Employing enhanced electric charges, the dependence of the…

High Energy Physics - Lattice · Physics 2009-10-28 A. Duncan , E. Eichten , H. Thacker

The quark-line disconnected diagram is a potentially important ingredient in lattice QCD calculations of the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon. It is also a notoriously difficult one to…

High Energy Physics - Lattice · Physics 2016-05-04 Bipasha Chakraborty , C. T. H. Davies , J. Koponen , G. P. Lepage , M. J. Peardon , S. M. Ryan

Because of the mass gap, lattice QCD simulations exhibit stochastic locality: distant regions of the lattice fluctuate independently. There is a long history of exploiting this to increase statistics by obtaining multiple…

High Energy Physics - Lattice · Physics 2023-12-01 Mattia Bruno , Marco Cè , Anthony Francis , Patrick Fritzsch , Jeremy R. Green , Maxwell T. Hansen , Antonio Rago

The transverse-momentum-dependent distributions (TMDs), which are defined by gauge-invariant 3D parton correlators with staple-shaped lightlike Wilson lines, can be calculated from quark and gluon correlators fixed in the Coulomb gauge on a…

High Energy Physics - Phenomenology · Physics 2024-12-04 Yong Zhao

Recent lattice results on the meson and baryon spectrum with a focus on the determination of hadronic resonance masses and widths using a combined basis of single-hadron and hadron-hadron interpolating fields are reviewed. These mostly…

High Energy Physics - Lattice · Physics 2017-04-05 Daniel Mohler