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In the Wilson's lattice formulation of QCD, a fermionic Fock space of states can be explicitly built at each time slice using canonical creation and annihilation operators. The partition function $Z$ is then represented as the trace of the…

High Energy Physics - Lattice · Physics 2022-09-21 Sergio Caracciolo , Mauro Pastore

We analytically derive a decomposition of the lattice fermion determinant for Wilson's Dirac operator with chemical potential into winding sectors, i.e., factors with a fixed number of quarks. Dividing the lattice into four domains, the…

High Energy Physics - Lattice · Physics 2009-01-01 Julia Danzer , Christof Gattringer

We study the implementation of the even-odd Wilson fermion matrix for lattice QCD simulations on the A64FX architecture. Efficient coding of the stencil operation is investigated for two-dimensional packing to SIMD vectors. We measure the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-16 Issaku Kanamori , Keigo Nitadori , Hideo Matsufuru

We compute the quark number susceptibilities in two flavor QCD for staggered fermions by adding the chemical potential as a Lagrange multiplier for the point-split number density term. Since lesser number of quark propagators are required…

High Energy Physics - Lattice · Physics 2014-11-21 R. V. Gavai , Sayantan Sharma

I present one-loop perturbative calculations of matching coefficients between matrix elements in continuum regulated QCD and lattice QCD with overlap fermions, with emphasis a recently-proposed variant discretization of the overlap. These…

High Energy Physics - Lattice · Physics 2016-09-01 Thomas DeGrand

Lattice QCD should allow a derivation of the $\Delta I=1/2$ rule from first principles, but numerical calculations to date have been plagued by a variety of problems. After a brief review of these problems, we present several new methods…

High Energy Physics - Lattice · Physics 2009-10-09 C. Dawson , G. Martinelli , G. C. Rossi , C. T. Sachrajda , S. Sharpe , M. Talevi , M. Testa

In this review we discuss the general features of maximally twisted lattice QCD. In particular, we illustrate how automatic O(a) improvement can be achieved and how it is possible to set up a lattice regularization scheme where the problem…

High Energy Physics - Lattice · Physics 2009-11-11 R. Frezzotti , G. C. Rossi

We report the progress on the lattice QCD calculation of the glue spin contribution to proton spin. This calculation is carried out with valence overlap fermion on 2+1 flavor DWF gauge configurations at two lattice spacings with the…

High Energy Physics - Phenomenology · Physics 2016-03-24 Yi-Bo Yang , Raza Sabbir Sufian , Andrei Alexandru , Terrence Draper , Michael J. Glatzmaier , Keh-Fei Liu

A comparison is made of the (quenched) light hadron spectrum and of simple matrix elements for a hypercubic fermion action (based on a fixed point action) and the clover action, both using fat links, at a lattice spacing a= 0.18 fm.…

High Energy Physics - Lattice · Physics 2016-08-25 T. DeGrand

In the last few years it has been proposed a one-dimensional factorization of the fermion determinant in lattice QCD with Wilson-type fermions that leads to a block-local action of the auxiliary bosonic fields. Here we propose a…

High Energy Physics - Lattice · Physics 2022-04-20 Leonardo Giusti , Matteo Saccardi

We propose a method to improve lattice operators composed of Wilson fermions which allows the removal of all corrections of $O(a)$, including those proportional to the quark mass. It requires off-shell improvement of quark fields and…

High Energy Physics - Lattice · Physics 2009-10-09 G. Martinelli , G. C. Rossi , C. T. Sachrajda , S. Sharpe , M. Talevi , M. Testa

We report a lattice calculation of nucleon forward matrix elements on a $48^3 \times 96$ lattice at the physical pion mass and a spatial size of 5.5 fm. The $2+1$ flavor dynamical fermion configurations are generated with domain-wall…

High Energy Physics - Lattice · Physics 2017-02-16 Keh-Fei Liu , Jian Liang , Yi-Bo Yang

We compute the O(g^2) contribution to the thermodynamic pressure for Wilson fermions in the standard, the twisted mass, and clover improved formulation in lattice perturbation theory, including finite mass effects. We compare the continuum…

High Energy Physics - Lattice · Physics 2010-05-28 Owe Philipsen , Lars Zeidlewicz

QCD results are presented for a 2+1 flavour fermion clover action (which we call the SLiNC action). A method of tuning the quark masses to their physical values is discussed. In this method the singlet quark mass is kept fixed, which solves…

We present a 1-loop perturbative calculation of the fermion propagator, up to O(a^2) (a: lattice spacing). The fermions are described by Wilson, clover and twisted-mass actions; for gluons we use Symanzik improved actions (Plaquette,…

High Energy Physics - Lattice · Physics 2010-11-05 Martha Constantinou , Haralambos Panagopoulos , Fotos Stylianou

It is shown that the flavour projection of staggered fermions can be written as a projection between the fields on four separate, but parallel, lattices, where the fields on each are modified forms of the standard staggered fermion field.…

High Energy Physics - Lattice · Physics 2010-10-27 Steven Watterson

An efficient calculation method is proposed for the face centered cubic (FCC) lattice Green function. The method is based on binomial expansion theorems, which is provide us establish analytical formulae through simple basic integrals. The…

Mathematical Physics · Physics 2012-05-08 B. A. Mamedov

The QCD thermodynamics on the lattice provides fundamental theoretical grounds to analyze the various experimental data in relativistic heavy ion collisions. So far, most of the numerical simulations on the lattice have been performed by…

High Energy Physics - Lattice · Physics 2008-11-26 S. Ejiri , T. Hatsuda , N. Ishii , Y. Maezawa , N. Ukita , S. Aoki , K. Kanaya

We present the first calculation of the pion gluon moment from lattice QCD in the continuum-physical limit. The calculation is done using clover fermions for the valence action with three pion masses, 220, 310 and 690 MeV, and three lattice…

High Energy Physics - Lattice · Physics 2023-10-19 William Good , Kinza Hasan , Allison Chevis , Huey-Wen Lin

Lattice simulations of Quantum Chromodynamics (QCD) enable one to calculate the low-energy properties of the strong interaction among quarks and gluons based on the first principle. The most time-consuming part of the numerical simulations…

High Energy Physics - Lattice · Physics 2026-02-17 Wei-Lun Chen , Issaku Kanamori , Hideo Matsufuru , Hartmut Neff
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