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Recent results on pion physics from lattice QCD are reviewed. We discuss quark mass dependences of pion mass and decay constant and compare them with the predictions from chiral perturbation theory. In particular we focus on the convergence…

高能物理 - 格点 · 物理学 2014-11-20 Sinya Aoki

We use chiral perturbation theory to study the extraction of pion electromagnetic polarizabilities from lattice QCD. Chiral extrapolation formulae are derived for partially quenched QCD, and quenched QCD simulations. On a torus, volume…

高能物理 - 格点 · 物理学 2008-11-26 Jie Hu , Fu-Jiun Jiang , Brian C. Tiburzi

Because the time needed for a simulation in lattice QCD varies at a rate exceeding the fourth power of the lattice size, it is important to understand how small one can make a lattice without altering the physics beyond recognition. It is…

高能物理 - 格点 · 物理学 2010-02-17 A. W. Thomas , J. D. Ashley , D. B. Leinweber , R. D. Young

An analysis of the pion mass and pion decay constant is performed using mixed-action Lattice QCD calculations with domain-wall valence quarks on ensembles of rooted, staggered n_f = 2+1 MILC configurations. Calculations were performed at…

高能物理 - 格点 · 物理学 2012-11-14 S. R. Beane , W. Detmold , P. M. Junnarkar , T. C. Luu , K. Orginos , A. Parreno , M. J. Savage , A. Torok , A. Walker-Loud

We use a method to calculate the hadron's charge radius without model-dependent momentum extrapolations. The method does not require the additional quark propagator inversions on the twisted boundary conditions or the computation of the…

高能物理 - 格点 · 物理学 2020-04-01 Xu Feng , Yang Fu , Lu-Chang Jin

We study isospin-1 P-wave $\pi\pi$ scattering in lattice QCD with two flavours of O($a$) improved Wilson fermions. For pion masses ranging from $m_\pi=265$ MeV to $m_\pi=437$ MeV, we determine the energy spectrum in the centre-of-mass frame…

高能物理 - 格点 · 物理学 2020-03-17 Felix Erben , Jeremy R. Green , Daniel Mohler , Hartmut Wittig

A nonperturbatively-improved, symmetry-preserving approximation to the quantum field equations relevant in calculations of meson masses and interactions is used to deliver predictions for all distribution functions (DFs) of the ground state…

高能物理 - 唯象学 · 物理学 2025-01-24 Z. -N. Xu , Z. -Q. Yao , D. Binosi , M. Ding , C. D. Roberts , J. Rodríguez-Quintero

We present a lattice calculation of the electromagnetic form factor of the pion obtained using the tree-level Symanzik improved gauge action with two flavors of dynamical twisted Wilson quarks. The simulated pion masses range approximately…

高能物理 - 格点 · 物理学 2009-11-06 R. Frezzotti , V. Lubicz , S. Simula

The background magnetic-field formalism of Lattice QCD has been used recently to calculate the magnetic polarizability of the charged pion. These $n_f = 2 + 1$ numerical simulations are electro-quenched, such that the virtual sea-quarks of…

核理论 · 物理学 2021-09-22 Fangcheng He , D. B. Leinweber , A. W. Thomas , P. Wang

We compute the electromagnetic form factor of the pion using non-perturbatively O(a) improved Wilson fermions. The calculations are done for a wide range of pion masses and lattice spacings. We check for finite size effects by repeating…

We compute finite volume effects relevant for lattice QCD simulations using background fields. Focusing on constant electric and magnetic fields on a periodic lattice, we determine volume corrections to pion two-point functions using chiral…

高能物理 - 格点 · 物理学 2009-05-18 Brian C. Tiburzi

We present a lattice QCD determination of the distribution amplitude (DA) of the pion and the first few Mellin moments from an analysis of the quasi-DA matrix element within the leading-twist framework. We perform our study on a HISQ…

We report on our exploratory study for the direct evaluation of the parton distribution functions from lattice QCD, based on a recently proposed new approach. We present encouraging results using Nf = 2 + 1 + 1 twisted mass fermions with a…

We present the first lattice-QCD $x$-dependent pion valence-quark generalized parton distribution (GPD) calculated directly at physical pion mass using the Large-Momentum Effective Theory (LaMET) with next-to-next-to-leading order…

高能物理 - 格点 · 物理学 2023-10-17 Huey-Wen Lin

Formulas are developed for use in lattice studies of charged hadron polarizabilities. In particular, the valence quark different-flavor component of the charged pion polarizability is examined on a $16^{3}\times 24$ lattice at $\beta=6.0$…

高能物理 - 格点 · 物理学 2009-10-28 Walter Wilcox

We analyze the moments of parton distribution functions in the pion calculated in lattice QCD, paying particular attention to their chiral extrapolation. Using the lowest three non-trivial moments calculated on the lattice, we assess the…

高能物理 - 格点 · 物理学 2008-11-26 W. Detmold , W. Melnitchouk , A. W. Thomas

We present a comprehensive study of the electromagnetic form factor, the decay constant and the mass of the pion computed in lattice QCD with two degenerate O(a)-improved Wilson quarks at three different lattice spacings in the range…

高能物理 - 格点 · 物理学 2015-06-16 Bastian B. Brandt , Andreas Juttner , Hartmut Wittig

The physics of pions within a finite volume is explored using lattice regularized chiral perturbation theory. This regularization scheme permits a straightforward computational approach to be used in place of analytical continuum…

高能物理 - 格点 · 物理学 2009-11-10 B. Borasoy , R. Lewis

We calculate pion vector and scalar form factors in two-flavor lattice QCD and study the chiral behavior of the vector and scalar radii <r^2>_{V,S}. For a direct comparison with chiral perturbation theory (ChPT), chiral symmetry is exactly…

高能物理 - 唯象学 · 物理学 2014-11-20 Takashi Kaneko

The electromagnetic form factor of the pion is calculated in the "point-form" of relativistic quantum mechanics using simple, phenomenological wave functions. It is found that the squared charge radius of the pion is predicted one order of…

高能物理 - 唯象学 · 物理学 2015-06-25 A. Amghar , B. Desplanques , L. Theussl