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I explore the origins of the unphysical predictions from rooted staggered fermion algorithms. Before rooting, the exact chiral symmetry of staggered fermions is a flavored symmetry among the four "tastes." The rooting procedure averages…

High Energy Physics - Lattice · Physics 2008-11-26 Michael Creutz

It is conventional wisdom that staggered fermions do not feel gauge field topology. However, the response of staggered fermion eigenmodes to the topology of the gauge field can depend quite sensitively on the way in which the staggered…

High Energy Physics - Lattice · Physics 2009-11-10 Kit Yan Wong , R. M. Woloshyn

In hep-lat/0701018, Creutz claims that the rooting trick used in simulations of staggered fermions to reduce the number of tastes misses key physics whenever the desired theory has an odd number of continuum flavors, and uses this argument…

High Energy Physics - Lattice · Physics 2008-11-26 Claude Bernard , Maarten Golterman , Yigal Shamir , Stephen Sharpe

Calculations using staggered quarks augmented with a root of the fermion determinant to reduce doubling give a qualitatively incorrect behavior in the small quark mass region. Attempts to circumvent this problem for the continuum limit…

High Energy Physics - Lattice · Physics 2008-11-26 Michael Creutz

A popular approximation in lattice gauge theory is an extrapolation in the number of fermion species away from the four fold degeneracy natural with the staggered fermions formulation. I show that at finite lattice spacing and for an odd…

High Energy Physics - Lattice · Physics 2007-05-23 Michael Creutz

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…

High Energy Physics - Lattice · Physics 2008-11-26 David H. Adams

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…

High Energy Physics - Lattice · Physics 2008-11-26 Eric B. Gregory , Alan C. Irving , Craig McNeile , Christopher M. Richards

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…

High Energy Physics - Lattice · Physics 2009-11-07 Anna Hasenfratz

A popular approximation in lattice gauge theory is an extrapolation in the number of fermion species away from the four fold degeneracy natural with the staggered fermion formulation. I show that the extrapolation procedure mutilates the…

High Energy Physics - Lattice · Physics 2008-11-26 Michael Creutz

We report on progress in measuring disconnected correlators associated with pseudoscalar flavor-singlet mesons. This will eventually allow us to compute the masses of the eta and eta' mesons. Flavor-singlet physics also presents an…

High Energy Physics - Lattice · Physics 2016-09-01 Eric B. Gregory , Alan C. Irving , Craig McNeile , Steven Miller , Zbigniew Sroczynski

We present a calculation of the mass of the eta-prime meson using quenched and dynamical staggered fermions. We also discuss the effects of "cooling" and suggest its use as a quantitative tool.

High Energy Physics - Lattice · Physics 2009-10-28 Gregory Kilcup , Jeffrey Grandy , Lakshmi Venkataraman

A recent criticism of the proof of the failure of the rooting procedure with staggered fermions is shown to be incorrect.

High Energy Physics - Lattice · Physics 2008-11-26 Michael Creutz

With sufficiently light up and down quarks the isovector ($a_0$) and isosinglet ($f_0$) scalar meson propagators are dominated at large distance by two-meson states. In the staggered fermion formulation of lattice quantum chromodynamics,…

High Energy Physics - Lattice · Physics 2008-11-26 Claude Bernard , Carleton DeTar , Ziwen Fu , Sasa Prelovsek

Because the propagators of flavor-singlet states incorporate disconnected diagrams, they are uniquely sensitive to any differences in the actions governing sea and valence fermions on the lattice. As such, they present an important test of…

High Energy Physics - Lattice · Physics 2009-11-11 Eric B. Gregory , Alan Irving , Craig McNeile , Steven Miller , Zbyszek Sroczynski

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…

High Energy Physics - Lattice · Physics 2015-05-14 Maarten Golterman , Yigal Shamir

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…

High Energy Physics - Lattice · Physics 2011-05-05 Stephen R. Sharpe

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.…

High Energy Physics - Lattice · Physics 2007-05-23 Anna Hasenfratz

We perform a nonperturbative tuning of the coefficients in the $O(a^2)$ improved action for staggered fermions. The mass splitting for the pions of different doubler flavor is used as a measure of the symmetry breaking effects introduced by…

High Energy Physics - Lattice · Physics 2009-03-09 Massimo Di Pierro , Paul Mackenzie

The behavior of staggered domain wall fermions in the presence of gauge fields is presented. In particular, their response to gauge fields with nontrivial topology is discussed.

High Energy Physics - Lattice · Physics 2009-11-07 Pavlos M. Vranas , George T. Fleming

We present a new action for highly improved staggered fermions. We show that perturbative calculations for the new action are well-behaved where those of the conventional staggered action are badly behaved. We discuss the effects of the new…

High Energy Physics - Lattice · Physics 2009-11-07 Howard D. Trottier , G. Peter Lepage , Paul B. Mackenzie , Quentin Mason , Matthew A. Nobes
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