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This is the first part of a study of the quark propagator and the vertex function of the vector current on the lattice in the Landau gauge and using both Wilson-clover and overlap actions. In order to be able to identify lattice artifacts…

High Energy Physics - Lattice · Physics 2016-08-16 Ph. Boucaud , F. de Soto , J. P. Leroy , A. Le Yaouanc , J. Micheli , H. Moutarde , O. Pène , J. Rodríguez-Quintero

We present results from our simulations of quantum chromodynamics (QCD) with four flavors of quarks: u, d, s, and c. These simulations are performed with a one-loop Symanzik improved gauge action, and the highly improved staggered quark…

Building upon Lagrangian mechanics on Wess's $q$-commutative spaces, we derive the $q$-deformed Hamiltonian dynamics as formulated by Lavagno et al. (2006). We then develop a computationally tractable scheme and propose a novel Hamiltonian…

Numerical Analysis · Mathematics 2026-03-03 Xiaomei Yang , Zhiliang Deng

We present progress on the calculation of scalar, vector, and tensor form factors for the following meson decays: $B\rightarrow\pi$, $B_s\rightarrow K$, $D\rightarrow\pi$ and $D_s\rightarrow K$. This calculation uses the MILC HISQ gluon…

High Energy Physics - Lattice · Physics 2025-02-03 Logan Roberts , Chris Bouchard , Olmo Francesconi , Will Parrott

Dramatic progress has been made over the last decade in the numerical study of quantum chromodynamics (QCD) through the use of improved formulations of QCD on the lattice (improved actions), the development of new algorithms and the rapid…

A new method of stochastically estimating the low-lying effects of quark propagation is proposed which allows accurate determinations of temporal correlations of single-hadron and multi-hadron operators in lattice QCD. The method is well…

High Energy Physics - Lattice · Physics 2015-03-19 Colin Morningstar , John Bulava , Justin Foley , Keisuke J. Juge , David Lenkner , Mike Peardon , Chik Him Wong

We present preliminary results from UKQCD simulations at light quark masses using two flavours of non-pertubatively improved Wilson fermions. We report on the performance of the standard HMC algorithm at these quark masses where m_pi/m_rho…

High Energy Physics - Lattice · Physics 2015-06-25 A. C. Irving , UKQCD Collaboration

The spontaneous breaking of chiral symmetry in QCD is known to be linked to a non-zero density of eigenvalues of the massless Dirac operator near the origin. Numerical studies of two-flavour QCD now suggest that the low quark modes are…

High Energy Physics - Lattice · Physics 2008-11-26 Martin Lüscher

Our progress in computing the spectrum of excited baryons and mesons in lattice QCD is described. Sets of spatially-extended hadron operators with a variety of different momenta are used. A new method of stochastically estimating the…

High Energy Physics - Lattice · Physics 2015-05-27 C. Morningstar , A. Bell , J. Bulava , J. Foley , K. J. Juge , D. Lenkner , C. H. Wong

We report results for the interaction measure, pressure and energy density for nonzero temperature QCD with 2+1 flavors of improved staggered quarks. In our simulations we use a Symanzik improved gauge action and the Asqtad $O(a^2)$…

High Energy Physics - Lattice · Physics 2010-11-15 C. Bernard , T. Burch , C. DeTar , Steven Gottlieb , U. M. Heller , J. E. Hetrick , L. Levkova , F. Maresca , D. B. Renner , R. Sugar , D. Toussaint

We compute pseudoscalar meson masses and decay constants using staggered quarks on lattices with three flavors of sea quarks and lattice spacings $\approx 0.12$ fm and $\approx 0.09$ fm. We fit partially quenched results to ``staggered…

In this paper, we report recent developments of the HAL QCD method for two hadron systems which contain quark annihilation processes using all-to-all quark propagators. We employ the hybrid method for all-to-all propagators, which combines…

High Energy Physics - Lattice · Physics 2019-12-02 Yutaro Akahoshi , Sinya Aoki , Tatsumi Aoyama , Takaya Miyamoto , Kenji Sasaki

We simulate quenched QCD with the overlap Dirac operator. We work with the Wilson gauge action at beta=6 on an 18^3x64 lattice. We calculate quark propagators for a single source point and quark mass ranging from am_q=0.03 to 0.75. We…

High Energy Physics - Lattice · Physics 2009-11-10 Federico Berruto , Nicolas Garron , Christian Hoelbling , Laurent Lellouch , Claudio Rebbi , Noam Shoresh

We study a new method -- maximal variance reduction -- for reducing the variance of stochastic estimators for quark propagators. We find that while this method is comparable to usual iterative inversion for light-light mesons, a…

High Energy Physics - Lattice · Physics 2008-11-26 UKQCD Collaboration , C. Michael , J. Peisa

We update our determinations of $f_{D^+}$, $f_{D_s}$, $f_K$, and quark mass ratios from simulations with four flavors of HISQ dynamical quarks. The availability of ensembles with light quarks near their physical mass means that we can…

We present an update of our lattice QCD determination of the $B_c\to J/\psi$ vector and axial-vector form factors, including new results for the tensor form factors. We use the Highly Improved Staggered Quark action for all valence quarks,…

High Energy Physics - Lattice · Physics 2025-02-05 Judd Harrison

We report on heavy quark mass calculations using Fermilab heavy quarks. Lattice calculations of heavy-strange meson masses are combined with one-loop (automated) lattice perturbation theory to arrive at the quark mass. Mesons are…

We study the excitations of hadrons containing a single heavy quark. We present meson and baryon mass splittings and ratios of meson decay constants resulting from quenched and dynamical two-flavor configurations. Light quarks are simulated…

High Energy Physics - Lattice · Physics 2010-01-21 Tommy Burch , Christian Hagen , Christian B. Lang , Markus Limmer , Andreas Schäfer

We report on first results of an ongoing effort to simulate lattice QCD with two degenerate flavours of quarks by means of the twisted mass formulation tuned to maximal twist. By utilising recent improvements of the HMC algorithm,…

High Energy Physics - Lattice · Physics 2008-11-26 Karl Jansen , Carsten Urbach , ETM Collaboration

Smearing the gauge links of dynamical configurations removes small scale unphysical vacuum fluctuations and thus improves the chiral properties of lattice fermions. Recently we proposed the hypercubic smearing (HYP) that improves the flavor…

High Energy Physics - Lattice · Physics 2007-05-23 A. Hasenfratz , F. Knechtli