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A discussion of methods for reducing the noise variance of flavor singlet quantities ("disconnected diagrams") in lattice QCD is given. After an introduction, the possible advantage of partitioning the Wilson fermion matrix into disjoint…

High Energy Physics - Lattice · Physics 2007-05-23 Walter Wilcox

We calculate connected and disconnected contributions to the flavour singlet scalar density amplitude of the nucleon in a full QCD lattice simulation with $n_f=2$ dynamical Wilson fermions at $\beta=5.6$ on a $16^3 \times 32$ lattice. We…

High Energy Physics - Lattice · Physics 2012-08-27 SESAM-Collaboration , : , S. Güsken , P. Ueberholz , J. Viehoff , N. Eicker , P. Lacock , T. Lippert , K. Schilling , A. Spitz , Th. Struckmann

Flavour singlet contributions to the nucleon spin are elusive due to the fact that they cannot be determined directly in experiment but require extrapolations to the small x region. Direct calculations of these contributions are possible…

High Energy Physics - Lattice · Physics 2019-08-13 Sara Collins

Recent developments in lattice QCD calculation of flavor singlet nucleon matrix elements are reviewed. Substantial sea quark contributions are found in the $\pi$-$N\ \sigma$ term and the quark spin content of the nucleon such that the total…

High Energy Physics - Lattice · Physics 2009-10-28 Masanori Okawa

We report results of our calculation on the $\pi N\sigma$ term and quark spin content of the nucleon on the quenched $16^3 \times 24$ lattice at $\beta = 6.0$. The disconnected insertions which involve contributions from the sea quarks are…

High Energy Physics - Lattice · Physics 2009-10-28 Shao-Jing Dong , Keh-Fei Liu

We report results on the nucleon structure obtained from the lattice quantum chromodynamics calculation. These include the axial, electromagnetic, $\pi NN$, and scalar form factors. The calculation is carried out at $\beta = 6$ on a $16^3…

High Energy Physics - Lattice · Physics 2009-09-25 Keh-Fei Liu

We numerically study QCD with a single quark flavour on the lattice probing predictions from effective field theories that are equivalent to minimal super-symmetric Yang-Mills theory in the large $N_c$ limit. The hadronic spectrum including…

High Energy Physics - Lattice · Physics 2021-11-25 Michele Della Morte , Benjamin Jäger , Francesco Sannino , J. Tobias Tsang , Felix P. G. Ziegler

Recent conceptual, algorithmic and technical advances allow numerical simulations of lattice QCD with Wilson quarks to be performed at significantly smaller quark masses than was possible before. Here we report on simulations of two-flavour…

High Energy Physics - Lattice · Physics 2010-02-03 L. Del Debbio , L. Giusti , M. Lüscher , R. Petronzio , N. Tantalo

The study of nuclear physics using lattice QCD is hindered by an exponentially large signal-to-noise problem which is conventionally alleviated by raising the quark masses to unphysically high values. We propose a novel form of partial…

High Energy Physics - Lattice · Physics 2010-01-12 Amy N. Nicholson

Accurate measurements of K, D and B meson mixing amplitudes provide stringent constraints in the Unitary Triangle analysis, as well as useful bounds on New Physics scales. Lattice QCD provides a non perturbative tool to compute the hadronic…

High Energy Physics - Lattice · Physics 2014-11-11 Nuria Carrasco

We present a lattice calculation of the interquark potential between static quarks in a ``full'' QCD simulation with 2 flavours of dynamical Wilson-quarks at three intermediate sea-quark masses. We work at $\beta = 5.6$ on lattice size of…

High Energy Physics - Lattice · Physics 2009-10-28 U. Glässner , S. Güsken , H. Hoeber , Th. Lippert , G. Ritzenhöfer , K. Schilling , G. Siegert , A. Spitz , A. Wachter

Flavor singlet combinations of quark operators ${\cal{O}}_S^{\Gamma} = \bar{u}\Gamma u + \bar{d}\Gamma d + \bar{s}\Gamma s$ contribute to many important physical observables in the low energy region of QCD. Experimentally one finds the…

High Energy Physics - Lattice · Physics 2007-05-23 S. Güsken

We study the possible significance of four-quark states in the iso-singlet scalar mesons ($J^{PC}=0^{++}$, $I=0$) by performing two-flavor full lattice QCD simulations on an $8^3 \times 16$ lattice using the improved gauge action and the…

High Energy Physics - Lattice · Physics 2015-06-11 Masayuki Wakayama , Teiji Kunihiro , Shin Muroya , Atsushi Nakamura , Chiho Nonaka , Motoo Sekiguchi , Hiroaki Wada

Nucleon matrix elements of various four-quark operators are evaluated in quenched lattice QCD using Wilson fermions. Some of these operators give rise to twist-four contributions to nucleon structure functions. Furthermore, they bear…

High Energy Physics - Lattice · Physics 2008-11-26 M. Göckeler , R. Horsley , B. Klaus , D. Pleiter , P. E. L. Rakow , S. Schaefer , A. Schäfer , G. Schierholz

We present results for matrix elements of $\Delta S=2$ four-fermion operators arising generically in models of new physics. These are needed to constrain such models using the measured values of $\varepsilon_K$ and $\Delta M_K$. We use…

First results of a recently started simulation of full QCD with two flavours of sea-quarks at a coupling of $\beta = 5.6$ on a $16^3 \times 32$ lattice are presented. Emphasis is laid on the statistical significance that can be achieved by…

High Energy Physics - Lattice · Physics 2019-08-17 SESAM-Collaboration , : , U. Glässner , S. Güsken , H. Hoeber , Th. Lippert , X. Luo , G. Ritzenhöfer , K. Schilling , G. Siegert

We calculate both connected and disconnected contribution to the $\pi$-$N$ $\sigma$-term in quenched lattice QCD with Wilson quark action on a $12^3\times 20$ lattice at $\beta=5.7$. The latter is evaluated with the aid of the variant wall…

High Energy Physics - Lattice · Physics 2009-10-22 M. Fukugita , Y. Kuramashi , M. Okawa , A. Ukawa

We extend the study of lowest moments, $<x>$ and $<x^2>$, of the parton distribution function of the nucleon to include those of the sea quarks; this entails a disconnected insertion calculation in lattice QCD. This is carried out on a…

High Energy Physics - Phenomenology · Physics 2010-04-21 M. Deka , T. Streuer , T. Doi , S. J. Dong , T. Draper , K. F. Liu , N. Mathur , A. W. Thomas

The inclusion of physical effects from sea quarks has been one of the main advances in lattice QCD simulations over the last few years. We report on recent studies with four flavours of dynamical quarks and address some of the potential…

High Energy Physics - Lattice · Physics 2011-03-09 Gregorio Herdoiza

We have made significant progress on extending lattice QCD calculation of the polarizability of the neutron and other hadrons to include the effects of charged dynamical quarks. This is done by perturbatively reweighting the charges of the…

High Energy Physics - Lattice · Physics 2014-10-20 Walter Freeman , Andrei Alexandru , Mike Lujan , Frank X. Lee
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