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We investigate the $I=1$ $\pi \pi$ interaction using the HAL QCD method in lattice QCD. We employ the (2+1)-flavor gauge configurations on $32^3 \times 64$ lattice at the lattice spacing $a \approx 0.0907$ fm and $m_{\pi} \approx 411$ MeV,…

High Energy Physics - Lattice · Physics 2021-09-29 Yutaro Akahoshi , Sinya Aoki , Takumi Doi

Recent lattice-QCD results for the dressed-gluon propagator are used within the quark Dyson-Schwinger equation to determine the gluon-quark vertex dressing necessary to reproduce the lattice-QCD results for the dressed-quark propagator.…

Nuclear Theory · Physics 2009-11-11 M. S. Bhagwat , P. C. Tandy

We present an algorithm to compute correlation functions for systems with the quantum numbers of many identical mesons from lattice quantum chromodynamics (QCD). The algorithm is numerically stable and allows for the computation of $n$-pion…

It would be very useful to find a way of reducing excited-state effects in lattice QCD calculations of nucleon structure that has a low computational cost. We explore the use of hybrid interpolators, which contain a nontrivial gluonic…

We present a study on ab-initio calculations of three-neutron correlators from Lattice QCD. We extend the method of baryon blocks to systems of three spacially displaced baryons. This allows the measurement of three-neutron $p$-wave…

High Energy Physics - Lattice · Physics 2018-10-31 Jan-Lukas Wynen , Evan Berkowitz , Thomas Luu , Andrea Shindler , John Bulava

Lattice QCD calculations of disconnected quark loop operators are extremely computer time-consuming to evaluate. To compute these diagrams using lattice techniques, one generally uses stochastic noise methods. These employ a randomly…

High Energy Physics - Lattice · Physics 2019-06-26 Suman Baral , Travis Whyte , Walter Wilcox , Ronald B. Morgan

The QCD-coupling is a necessary input in the computation of many observables, and the parametric error on input parameters can be a dominant source of uncertainty. The coupling can be extracted by comparing high order perturbative…

High Energy Physics - Lattice · Physics 2022-03-16 Leonardo Chimirri , Rainer Sommer

The results of a high-statistics study of scalar and pseudoscalar meson propagators in quenched lattice QCD are presented. For two values of lattice spacing, $\beta=5.7$ ($a \approx .18$ fm) and 5.9 ($a \approx .12$ fm), we probe the light…

High Energy Physics - Lattice · Physics 2009-11-10 W. Bardeen , E. Eichten , H. Thacker

Disconnected diagrams give crucial contributions to the physics of flavor singlet hadrons and to scalar form factors of non-singlet hadrons. Naive lattice calculation of the disconnected diagrams, however, requires a huge number of fermion…

High Energy Physics - Lattice · Physics 2010-12-14 Takashi Kaneko

We present a fast and simple algorithm that allows the extraction of multiple exponential signals from the temporal dependence of correlation functions evaluated on the lattice including the statistical fluctuations of each signal and…

High Energy Physics - Lattice · Physics 2019-10-09 S. Romiti , S. Simula

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

An extended multi-hadron operator is developed to extract the spectra of irreducible representations in the finite volume. The irreducible representations of the cubic group are projected using a coordinate-space operator. The correlation…

High Energy Physics - Lattice · Physics 2018-04-18 Jia-jun Wu , Waseem Kamleh , Derek B. Leinweber , Gerrit Schierholz , Ross D. Young , James M. Zanotti

Bilinear Euclidean quark and gluon correlators with Wilson links have been used widely for applications of large-momentum effective field theories to computing non-perturbative collinear and soft parton physics. Due to color confinement,…

High Energy Physics - Lattice · Physics 2026-01-21 Xiangdong Ji , Yizhuang Liu , Yushan Su

We present spectral functions extracted from Euclidean-time correlation functions by using sparse modeling. Sparse modeling is a method that solves inverse problems by considering only the sparseness of the solution we seek. To check…

High Energy Physics - Lattice · Physics 2024-11-01 Junichi Takahashi , Hiroshi Ohno , Akio Tomiya

The lattice technique of studying the strong interaction of matter is used to obtain predictions of the hadronic spectrum. These simulations were performed by the UKQCD collaboration using full (unquenched) QCD. Details of the results, a…

High Energy Physics - Lattice · Physics 2009-10-31 C. R. Allton

We show how to compute electromagnetic polarizabilities of charged hadrons without the use of background fields in lattice QCD. The low-energy behavior of the Compton scattering amplitude is matched to matrix elements of current-current…

High Energy Physics - Lattice · Physics 2021-10-08 Walter Wilcox , Frank X. Lee

A method for the extraction of an effective meson-meson potential from Green functions, which can be obtained from a lattice simulation, is presented. Simulations are carried out for compact QED and QCD in four dimensions using the quenched…

High Energy Physics - Lattice · Physics 2009-10-28 H. R. Fiebig , H. Markum , A. Mihály , K. Rabitsch , W. Sakuler , C. Starkjohann

Distillation is a quark-smearing method for the construction of a broad class of hadron operators useful in lattice QCD computations and defined via a projection operator into a vector space of smooth gauge-covariant fields. A new…

High Energy Physics - Lattice · Physics 2024-11-18 Nicolas Lang , Robert G. Edwards , Michael J. Peardon

The propagation of colored quarks through strongly interacting systems, and their subsequent evolution into color-singlet hadrons, are phenomena that showcase unique facets of Quantum Chromodynamics (QCD). Medium-stimulated gluon…

High Energy Physics - Phenomenology · Physics 2014-04-21 W. K. Brooks , H. Hakobyan , M. Arratia , C. Peña

Generalized parton distributions encompass a wealth of information concerning the three-dimensional quark and gluon structure of the nucleon, and thus provide an ideal focus for the study of hadron structure using lattice QCD. The special…

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