The pion form factor from twisted-mass lattice quantum chromodynamics

2006 ◽  
Vol 84 (6-7) ◽  
pp. 661-668
Author(s):  
A M Abdel-Rehim ◽  
R Lewis

The pion form factor offers insight into the transition from perturbative to nonperturbative quantum chromodynamics (QCD), and is of current experimental interest. Twisted-mass lattice QCD is a method for eliminating unphysical zero modes from Wilson lattice simulations; it also allows for removal of the leading lattice spacing artifacts through a momentum-averaging prescription. In our study of the pion form factor, we performed the first explicit computation with momentum averaging in twisted-mass lattice QCD, and the first use of the GMRES-DR algorithm for twisted fermion matrix inversion.PACS No.: 12.38.Gc

2019 ◽  
Vol 34 (30) ◽  
pp. 1950194 ◽  
Author(s):  
Ning Li ◽  
Ya-Jie Wu

We investigate the electromagnetic form factor of [Formula: see text] meson using [Formula: see text] twisted mass lattice quantum chromodynamics gauge configurations. The numerical simulations are carried out under twisted boundary conditions which are helpful to increase the resolution in momentum space. We determine electromagnetic form factors with more small four-momentum transfer, and further fit the charge radius for [Formula: see text] meson.


2013 ◽  
Vol 22 (12) ◽  
pp. 1330030 ◽  
Author(s):  
BASTIAN B. BRANDT

This review contains an overview over recent results for the electromagnetic iso-vector form factor of the pion obtained in lattice quantum chromodynamics (QCD) with dynamical fermions. Particular attention is given to the extrapolation to the physical point and an easy assessment of the control over the main systematic effects by imposing quality criteria and an associated sign code, similar to the ones used by the FLAG working group. Also included is a brief discussion of recent developments and future challenges concerning the accurate extraction of the form factor in the lattice framework.


Author(s):  
P.A. Boyle ◽  
R.D. Kenway ◽  
C.M. Maynard

Quantum chromodynamics (QCD) is the quantum field theory of the strong nuclear interaction and it explains how quarks and gluons are bound together to make more familiar objects such as the proton and neutron, which form the nuclei of atoms. UKQCD is a collaboration of eight UK universities that have come together to obtain and pool sufficient resources, both computational and manpower, to perform lattice QCD calculations. This paper explains how UKQCD uses and develops this software, how performance critical kernels for diverse architectures such as quantum chromodynamics-on-a-chip, BlueGene and XT4 are developed and employed and how UKQCD collaborates both internally and externally, with, for instance, the US SciDAC lattice QCD community.


2017 ◽  
Vol 28 (10) ◽  
pp. 1750124 ◽  
Author(s):  
Dean Howarth ◽  
Joel Giedt

In this paper, we describe our studies of the sigma meson, [Formula: see text], using two-pion correlation functions. We use lattice quantum chromodynamics in the quenched approximation with so-called clover fermions. By working at unphysical pion masses we are able to identify a would-be resonance with mass less than [Formula: see text], and then extrapolate to the physical point. We include the most important annihilation diagram, which is “partially disconnected” or “single annihilation”. Because this diagram is quite expensive to compute, we introduce a somewhat novel technique for the computation of all-to-all diagrams, based on momentum sources and a truncation in momentum space. In practice, we use only [Formula: see text] modes, so the method reduces to wall sources. At the point where the mass of the pion takes its physical value, we find a resonance in the [Formula: see text] two-pion channel with a mass of approximately [Formula: see text] MeV, consistent with the expected properties of the sigma meson, given the approximations we are making.


2005 ◽  
Vol 20 (27) ◽  
pp. 6159-6168
Author(s):  
ABDOU M. ABDEL-REHIM ◽  
RANDY LEWIS ◽  
R. M. WOLOSHYN

Lattice QCD simulations with a twisted mass term (tmLQCD) offer solutions to problems associated with simulations using Wilson fermions and a standard mass term. A summary of recent results from quenched simulations using tmLQCD at maximal twist for the pion form factor and hadron spectrum is presented.


Author(s):  
Bálint Joó ◽  
Mike A. Clark

The QUDA library for optimized lattice quantum chromodynamics using GPUs, combined with a high-level application framework such as the Chroma software system, provides a powerful tool for computing quark propagators, a key step in current calculations of hadron spectroscopy, nuclear structure, and nuclear forces. In this contribution we discuss our experiences, including performance and strong scaling of the QUDA library and Chroma on the Edge Cluster at Lawrence Livermore National Laboratory and on various clusters at Jefferson Lab. We highlight some scientific successes and consider future directions for graphics processing units in lattice quantum chromodynamics calculations.


2003 ◽  
Vol 566 (1-2) ◽  
pp. 131-136 ◽  
Author(s):  
J. van der Heide ◽  
M. Lutterot ◽  
J.H. Koch ◽  
E. Laermann

2014 ◽  
Vol 113 (25) ◽  
Author(s):  
S. R. Beane ◽  
E. Chang ◽  
S. Cohen ◽  
W. Detmold ◽  
H. W. Lin ◽  
...  

2017 ◽  
Vol 96 (11) ◽  
Author(s):  
Michael L. Wagman ◽  
Frank Winter ◽  
Emmanuel Chang ◽  
Zohreh Davoudi ◽  
William Detmold ◽  
...  

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