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Lattice fermion actions are constructed with path integrals which are equivalent to the free one-flavour staggered fermion determinant. The Dirac operators used are local and have an identical spectrum of states to the staggered theory.…

高能物理 - 格点 · 物理学 2007-05-23 Francesca Maresca , Mike Peardon

Staggered fermions with 4 tastes are expected to describe 4-flavor QCD in the continuum limit, therefore at finite lattice spacing the staggered determinant should be equivalent to an SU(4) flavor-symmetric system up to lattice artifacts.…

高能物理 - 格点 · 物理学 2007-05-23 Anna Hasenfratz

Staggered fermion shift symmetries correspond to translations of the fermion field within the unit cell of a hypercubic lattice. They satisfy an algebra and in four Euclidean dimensions can be related to a discrete subgroup of an $SU(4)$…

高能物理 - 格点 · 物理学 2024-10-08 Simon Catterall , Arnab Pradhan

Many results from lattice QCD of broad importance to particle and nuclear physics are obtained with 2+1 flavors of staggered sea quarks. In the continuum limit, staggered fermions yield four species, called tastes. To reduce the number of…

高能物理 - 格点 · 物理学 2011-06-10 Andreas S. Kronfeld

It is shown that an exact chiral symmetry can be described for Dirac-Kahler fermions using the two complexes of the geometric discretization. This principle is extended to describe exact flavour projection and it is shown that this…

高能物理 - 格点 · 物理学 2008-11-26 Steven Watterson

To investigate the viability of the 4th root trick for the staggered fermion determinant in a simpler setting, we consider a two taste (flavor) lattice fermion formulation with no taste mixing but with exact taste-nonsinglet chiral…

高能物理 - 格点 · 物理学 2008-11-26 David H. Adams

Staggered fermions with smeared links can have greatly improved chiral properties. In a recent paper we introduced a simple and effective method to simulate four flavors of staggered smeared link fermions. In this work we extend the four…

高能物理 - 格点 · 物理学 2007-05-23 Anna Hasenfratz , Francesco Knechtli

In this talk, I will give an overview of the theoretical status of staggered Lattice QCD with the "fourth-root trick." In this regularization of QCD, a separate staggered quark field is used for each physical flavor, and the inherent…

高能物理 - 唯象学 · 物理学 2009-09-02 Maarten Golterman

A different lattice fermion method is introduced. Staggered domain wall fermions are defined in 2n+1 dimensions and describe 2^n flavors of light lattice fermions with exact U(1) x U(1) chiral symmetry in 2n dimensions. As the size of the…

高能物理 - 格点 · 物理学 2009-11-07 George T. Fleming , Pavlos M. Vranas

I give a status report on the validity of the so-called ``fourth-root trick'', i.e. the procedure of representing the determinant for a single fermion by the fourth root of the staggered fermion determinant. This has been used by the MILC…

高能物理 - 格点 · 物理学 2011-05-05 Stephen R. Sharpe

One of the most serious problems of the staggered fermion lattice action is flavor symmetry violation. Smeared link staggered fermions can improve flavor symmetry by an order of magnitude relative to the standard thin link action. Over the…

高能物理 - 格点 · 物理学 2009-11-07 Anna Hasenfratz

We discuss the construction of a chiral random matrix model for staggered fermions. This model includes $O(a^2)$ corrections to the continuum limit of staggered fermions and is related to the zero momentum limit of the Lee-Sharpe Lagrangian…

高能物理 - 格点 · 物理学 2007-05-23 James C. Osborn

We study possibility of improving staggered fermions using various fat links in order to reduce perturbative corrections to the gauge-invariant staggered fermion operators. We prove five theorems on SU(3) projection, triviality in…

高能物理 - 格点 · 物理学 2009-11-07 Weonjong Lee

The Asqtad improved staggered fermion formalism has been a valuable tool in successfully calculating the non-singlet parts of the hadronic spectrum. We are engaged in a project to calculate the spectrum of the pseudoscalar singlet mesons…

高能物理 - 格点 · 物理学 2008-11-26 Eric B. Gregory , Alan C. Irving , Craig McNeile , Christopher M. Richards

A new formulation of chiral fermions on the lattice is presented. It is a version of overlap fermions, but built from the computationally efficient staggered fermions rather than the previously used Wilson fermions. The construction reduces…

高能物理 - 格点 · 物理学 2011-05-18 David H. Adams

We simulate $ SU(2) $ lattice gauge theory using dynamical reduced staggered fermions. The latter lead to two rather than four Dirac fermions in the continuum limit. We review the derivation and properties of reduced staggered fermions and…

高能物理 - 格点 · 物理学 2019-01-23 Simon Catterall , Nouman Butt

In confining lattice gauge theories in which part of the flavor group is coupled weakly to additional gauge fields, both the dynamics of the weak gauge fields as well as lattice artifacts may have non-trivial effects on the orientation of…

高能物理 - 格点 · 物理学 2015-05-14 Maarten Golterman , Yigal Shamir

We present a completed random matrix theory for staggered fermions which incorporates all taste symmetry breaking terms at their leading order from the staggered chiral Lagrangian. This is an extension of previous work which only included…

高能物理 - 格点 · 物理学 2012-04-26 James C. Osborn

With the aim of resolving theoretical issues associated with the fourth root prescription for dynamical staggered fermions in Lattice QCD simulations, we consider the problem of finding a viable lattice Dirac operator D such that (det…

高能物理 - 格点 · 物理学 2009-11-10 David H. Adams

Based on recent work by Adams, I construct a lattice fermion operator that fully lifts the staggered flavor degeneracy. The resulting operator is of Wilson type but smaller by a factor of 4, better conditioned and contains 3 instead of 15…

高能物理 - 格点 · 物理学 2011-01-31 Christian Hoelbling
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