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In this work, we extend and apply effective field theory techniques to systematically understand a subset of lattice artifacts which pollute the lattice correlation functions for a few processes of physical interest. Where possible, we…

High Energy Physics - Lattice · Physics 2007-05-23 Andre Walker-Loud

We present various exact solutions of a discrete complex Ginzburg-Landau (CGL) equation on a plane lattice, which describe target patterns and spiral patterns and derive their stability criteria. We also obtain similar solutions to a system…

Pattern Formation and Solitons · Physics 2016-09-08 Tsunehiro Yokoi , Hiroyasu Yamada , Kazuhiro Nozaki

2-color QCD is the simplest QCD-like theory which is accessible to lattice simulations at finite density. It therefore plays an important role to test qualitative features and to provide benchmarks to other methods and models, which do not…

High Energy Physics - Lattice · Physics 2019-05-28 Tamer Boz , Ouraman Hajizadeh , Axel Maas , Jon-Ivar Skullerud

Accurate determinations of the physical scale of a lattice action are required to check scaling and take the continuum limit. We present a high statistics study of the static potential for the SU(3) Wilson gauge action on coarse lattices…

High Energy Physics - Lattice · Physics 2009-10-30 R. G. Edwards , U. M. Heller , T. R. Klassen

Taylor expansion of the equation of state of QCD suffers from shortcomings at chemical potentials $\mu_B \geq (2-2.5)T$. First, one faces difficulties inherent in performing such an expansion with a limited number of coefficients; second,…

High Energy Physics - Lattice · Physics 2021-06-16 S. Borsanyi , Z. Fodor , J. N. Guenther , R. Kara , S. D. Katz , P. Parotto , A. Pasztor , C. Ratti , K. K. Szabo

We present results for the light quark masses and the neutral kaon mixing parameter $B_K$ from lattice QCD. Our data set includes lighter than physical light quark masses and 5 lattice spacings so that chiral extrapolation is not necessary…

High Energy Physics - Phenomenology · Physics 2012-07-02 Christian Hoelbling

The Landau gauge four-gluon vertex is studied using high statistical lattice simulations for several momentum configurations. Furthermore, the outcome of the lattice QCD simulations is compared with calculations performed with continuum…

High Energy Physics - Lattice · Physics 2023-11-30 Manuel Colaço , Orlando Oliveira , Paulo J. Silva

Within the framework of large momentum effective theory (LaMET), genenaralized parton distributions (GPDs) can be extracted from lattice calculations of quasi-GPDs through a perturbative matching relation, up to power corrections that are…

High Energy Physics - Phenomenology · Physics 2019-08-14 Yu-Sheng Liu , Wei Wang , Ji Xu , Qi-An Zhang , Jian-Hui Zhang , Shuai Zhao , Yong Zhao

We use perturbation theory to construct perfect lattice actions for fermions and gauge fields by blocking directly from the continuum. When one uses a renormalization group transformation that preserves chiral symmetry the resulting lattice…

High Energy Physics - Lattice · Physics 2009-10-28 W. Bietenholz , U. -J. Wiese

Large-momentum effective theory (LaMET) provides an approach to directly calculate the $x$-dependence of generalized parton distributions (GPDs) on a Euclidean lattice through power expansion and a perturbative matching. When a parton's…

High Energy Physics - Phenomenology · Physics 2025-07-29 Jack Holligan , Huey-Wen Lin , Rui Zhang , Yong Zhao

We develop a method to determine accurately the binding energy of the X(3872) from lattice data for the DD* interaction. We show that, because of the small difference between the neutral and charged components of the X(3872), it is…

High Energy Physics - Phenomenology · Physics 2015-09-23 E. J. Garzon , R. Molina , A. Hosaka , E. Oset

A recent Letter~\cite{Borsanyi:2025dyp} employs lattice QCD calculations of the equation of state, combined with entropy-density contour analysis, to place a lower bound of $\mu_B \gtrsim 450$~MeV on the location of the QCD critical…

High Energy Physics - Lattice · Physics 2026-04-01 Roy A. Lacey

We construct symmetry-preserving lattice regularizations of 2d QED with one and two flavors of Dirac fermions, as well as the `3450' chiral gauge theory, by leveraging bosonization and recently-proposed modifications of Villain-type lattice…

High Energy Physics - Lattice · Physics 2024-06-14 Evan Berkowitz , Aleksey Cherman , Theodore Jacobson

The properties of the momentum space quark propagator in Landau gauge are examined for the overlap quark action in quenched lattice QCD. Numerical calculations are done on three lattices with different lattice spacings and similar physical…

High Energy Physics - Lattice · Physics 2016-09-01 J. B. Zhang , F. D. R. Bonnet , P. O. Bowman , D. B. Leinwebwer , A. G. Williams

We develop a procedure to analytically calculate higher-order contributions to the high-temperature real-time static potential in QCD. It is based on the introduction of a semi-hard external scale, which lies between the hard scale (the…

High Energy Physics - Phenomenology · Physics 2025-09-30 Margaret E. Carrington , Cristina Manuel , Joan Soto

Lattice formulations of QCD with Wilson fermions and a chirally twisted quark mass matrix provide an attractive framework for non-perturbative numerical studies. Owing to reparameterization invariance, the limiting continuum theory is just…

High Energy Physics - Lattice · Physics 2009-11-07 R. Frezzotti

Lattice QCD has reached a mature status. State of the art lattice computations include $u,d,s$ (and even the $c$) sea quark effects, together with an estimate of electromagnetic and isospin breaking corrections for hadronic observables.…

High Energy Physics - Lattice · Physics 2021-06-30 Luigi Del Debbio , Alberto Ramos

We discuss a specific cut-off effect which appears in applying the non-perturbative RI/MOM scheme to compute the renormalization constants. To illustrate the problem a Dirac operator satisfying the Ginsparg-Wilson relation is used, but the…

High Energy Physics - Lattice · Physics 2008-07-02 Vidushi Maillart , Ferenc Niedermayer

Chiral dynamics makes definitive predictions for the electromagnetic polarizabilities of hadrons near the chiral limit; but, agreement with experiment is tenuous in some cases. We provide an overview of lattice QCD methods to compute the…

High Energy Physics - Lattice · Physics 2013-01-22 B. C. Tiburzi

We present an OpenCL-based Lattice QCD application using a heatbath algorithm for the pure gauge case and Wilson fermions in the twisted mass formulation. The implementation is platform independent and can be used on AMD or NVIDIA GPUs, as…

High Energy Physics - Lattice · Physics 2013-09-09 Matthias Bach , Volker Lindenstruth , Owe Philipsen , Christopher Pinke