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We reply to Creutz's comments on our paper " 't Hooft vertices, partial quenching, and rooted staggered QCD." We show that his criticisms are incorrect and result from a misunderstanding both of our work, and of the related work of Adams.

高能物理 - 格点 · 物理学 2008-11-26 Claude Bernard , Maarten Golterman , Yigal Shamir , Stephen R. Sharpe

We discuss the properties of 't Hooft vertices in partially quenched and rooted versions of QCD in the continuum. These theories have a physical subspace, equivalent to ordinary QCD, that is contained within a larger space that includes…

高能物理 - 格点 · 物理学 2008-11-26 Claude Bernard , Maarten Golterman , Yigal Shamir , Stephen Sharpe

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…

高能物理 - 格点 · 物理学 2008-11-26 Michael Creutz

The rooting procedure commonly used with staggered fermions does not correctly treat non-perturbative effects associated with gauge field topology. In practice these effects are small for the physics of flavor non-singlet particles. However…

高能物理 - 格点 · 物理学 2009-06-25 Michael Creutz

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…

高能物理 - 格点 · 物理学 2008-11-26 Claude Bernard , Maarten Golterman , Yigal Shamir , Stephen Sharpe

Even highly improved variants of lattice QCD with staggered fermions show significant violations of taste symmetry at currently accessible lattice spacings. In addition, the "rooting trick" is used in order to simulate with the correct…

高能物理 - 格点 · 物理学 2008-11-26 Claude Bernard , Maarten Golterman , Yigal Shamir

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

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

We extend our lagrangian technique for chiral perturbation theory for quenched QCD to include theories in which only some of the quarks are quenched. We discuss the relationship between the partially quenched theory and a theory in which…

高能物理 - 格点 · 物理学 2016-08-31 Claude Bernard , Maarten Golterman

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…

高能物理 - 格点 · 物理学 2008-11-26 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…

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

We summarize results for partially quenched chiral perturbation theory and indicate an application to staggered fermion QCD in which the square root of the determinant is taken to reduce the number of flavors from four to two.

高能物理 - 格点 · 物理学 2009-10-22 C. Bernard , M. Golterman

I look at the rooting controversy from a historical point of view and review how I have come to the conclusion that these simulations involving staggered quarks must be discarded.

高能物理 - 格点 · 物理学 2008-04-30 Michael Creutz

Recent developments regarding index and overlap construction for staggered fermions are reviewed, highlighting the surprising and unexpected aspects.

高能物理 - 格点 · 物理学 2011-04-01 David H. Adams

Lattice power-counting is extended to QCD with staggered fermions. As preparation, the difficulties encountered by Reisz's original formulation of the lattice power-counting theorem are illustrated. One of the assumptions that is used in…

高能物理 - 格点 · 物理学 2008-11-26 Joel Giedt

I respond to the Bernard et al. comment on my letter ``Chiral anomalies and rooted staggered fermions.''

高能物理 - 格点 · 物理学 2008-11-26 Michael Creutz

We present evidence in the Schwinger model that rooted staggered fermions may correctly describe the m<0 sector of a theory with an odd number of flavors. We point out that in QCD-type theories with a complex-valued quark mass every…

高能物理 - 格点 · 物理学 2009-11-11 Stephan Durr , Christian Hoelbling

Staggered chiral perturbation theory (schpt) takes into account the "fourth-root trick" for reducing unwanted (taste) degrees of freedom with staggered quarks by multiplying the contribution of each sea quark loop by a factor of 1/4. In the…

高能物理 - 格点 · 物理学 2009-11-11 C. Bernard

I develop a renormalization-group blocking framework for lattice QCD with staggered fermions. Under plausible, and testable, assumptions, I then argue that the fourth-root recipe used in numerical simulations is valid in the continuum…

高能物理 - 格点 · 物理学 2008-11-26 Yigal Shamir

In the paper [Hong-Shi Zong, Wei-Min Sun, Phys. Lett. B 640 (2006) 196], the authors claim that our proof of the inconsistency of the ladder approximation to QCD [Phys. Lett. B 611 (2005) 129] was incorrect. However, their claim is based on…

高能物理 - 唯象学 · 物理学 2010-11-05 V. Gogokhia
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