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We sketch the basic ideas of the lattice regularization in Quantum Field Theory, the corresponding Monte Carlo simulations, and applications to Quantum Chromodynamics (QCD). This approach enables the numerical measurement of observables at…

高能物理 - 唯象学 · 物理学 2016-08-24 Wolfgang Bietenholz

The study of heavy-light meson masses should provide a way to determine renormalized quark masses and other properties of heavy-light mesons. In the context of lattice QCD, for example, it is possible to calculate hadronic quantities for…

高能物理 - 唯象学 · 物理学 2018-02-14 N. Brambilla , J. Komijani , A. S. Kronfeld , A. Vairo

With the aim of a further investigation of the nonperturbative Hamiltonian approach in gauge field theories, the mass spectrum of QED-2 is calculated numerically by using the corrected Hamiltonian that was constructed previously for this…

高能物理 - 理论 · 物理学 2009-11-11 S. A. Paston , E. V. Prokhvatilov , V. A. Franke

Recent developments in lattice QCD calculations of the light hadron spectrum and quark masses are reviewed.

高能物理 - 格点 · 物理学 2007-05-23 T. Kaneko

A method for computing electromagnetic properties of hadrons in lattice QCD is applied to the extraction of electromagnetic properties of the octet baryons. This allows a determination of the full dependence of the baryon masses on the…

高能物理 - 格点 · 物理学 2009-10-28 A. Duncan , E. Eichten , H. Thacker

At the precision reached in current lattice QCD calculations, electromagnetic effects are becoming numerically relevant. Here, electromagnetic effects are included by superimposing $\mathrm{U}(1)$ degrees of freedom on $N_f = 2+1$ QCD…

A new approach to the inclusion of virtual quark effects in lattice QCD simulations is presented. Infrared modes which build in the chiral physics in the light quark mass limit are included exactly and in a gauge invariant way. At fixed…

高能物理 - 格点 · 物理学 2009-10-31 A. Duncan , E. Eichten , H. Thacker

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…

高能物理 - 格点 · 物理学 2025-05-16 Sasa Prelovsek

We provide an overview of the current state of lattice calculations concerning isospin-breaking corrections in weak decays, focusing in particular on leptonic decays of light pseudoscalar mesons. We examine the two currently existing…

高能物理 - 格点 · 物理学 2024-01-17 Matteo Di Carlo

Leading corrections to Planck's formula and photon thermodynamics arising from the pair-mediated photon-photon interaction are calculated. This interaction is attractive and causes an increase in occupation number for all modes. Possible…

高能物理 - 理论 · 物理学 2009-10-22 M. Hossein Partovi

Light and heavy-light (b) hadrons are among the most interesting and among the most challenging quantities to calculate in lattice gauge theory. One would like to avoid discretization effects from very heavy quarks and to calculate chiral…

高能物理 - 格点 · 物理学 2007-05-23 A. Ali Khan

Several hadronic observables are nowadays computed in lattice QCD with a sub-percent precision which requires the inclusion of strong isospin-breaking and electromagnetic effects. Most of the methods that implement the photon propagator in…

高能物理 - 格点 · 物理学 2026-03-12 Alessandro De Santis , Dominik Erb , Harvey B. Meyer

In this work, we perform a lattice QCD calculation of the branching ratios and the form factors of radiative leptonic decays $P \to \ell \nu_\ell \gamma$ ($P = \pi, K$) using $N_f=2+1$ domain wall fermion ensembles generated by the RBC and…

高能物理 - 格点 · 物理学 2026-04-29 Peter Boyle , Norman H. Christ , Xu Feng , Taku Izubuchi , Luchang Jin , Christopher T. Sachrajda , Xin-Yu Tuo

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…

核理论 · 物理学 2017-08-23 D. G. Richards

Since the numerical path integration in the lattice QCD involves quark and gluon fields (not hadron fields) the lattice QCD cannot calculate any hadronic observable. Because of this reason the hadronic properties are extracted in the…

高能物理 - 格点 · 物理学 2018-07-18 Gouranga C Nayak

We describe a first-principles method to apply lattice QCD to compute the order $\alpha_{\mathrm{EM}}$ corrections to $K\to\pi\ell\nu_\ell$ decay. This method formulates the calculation in infinite volume with the conventional…

高能物理 - 格点 · 物理学 2024-02-15 Norman H. Christ , Xu Feng , Luchang Jin , Christopher T. Sachrajda , Tianle Wang

This article reviews lattice QCD results for the light hadron spectrum. We give an overview of different formulations of lattice QCD, with discussions on the fermion doubling problem and improvement programs. We summarize recent…

高能物理 - 格点 · 物理学 2012-04-12 Zoltan Fodor , Christian Hoelbling

Electromagnetic properties of hadrons can be computed by lattice simulations of QCD in background fields. We demonstrate new techniques for the investigation of charged hadron properties in electric fields. Our current calculations employ…

高能物理 - 格点 · 物理学 2009-08-26 William Detmold , Brian C. Tiburzi , Andre Walker-Loud

The form factor that yields the light-by-light scattering contribution to the muon anomalous magnetic moment is computed in lattice QCD+QED and QED. A non-perturbative treatment of QED is used and is checked against perturbation theory. The…

高能物理 - 格点 · 物理学 2015-01-14 Thomas Blum , Saumitra Chowdhury , Masashi Hayakawa , Taku Izubuchi

Electromagnetic corrections to the $n$-point functions of lattice QCD can be evaluated using a position-space photon propagator defined in infinite volume. Here we address the computational challenge arising from the volume-squared sum over…

高能物理 - 格点 · 物理学 2026-03-16 Dominik Erb , Harvey B. Meyer , Konstantin Ottnad