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Related papers: Diseases with rooted staggered quarks

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Because the staggered fermion determinant is complex at nonzero mu, taking its fourth root leads to phase ambiguities. These unphysical effects cause the measure to become discontinuous; the problem becomes acute when Re mu exceeds…

High Energy Physics - Lattice · Physics 2009-09-29 Benjamin Svetitsky , Yigal Shamir , Maarten Golterman

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…

High Energy Physics - Phenomenology · Physics 2009-09-02 Maarten Golterman

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

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…

High Energy Physics - Lattice · Physics 2009-06-25 Michael Creutz

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

We investigate the validity of the square rooting procedure of the staggered determinant in the context of the Schwinger model. We find some evidence that at fixed physical quark mass the square root of the staggered determinant becomes…

High Energy Physics - Lattice · Physics 2009-11-10 Stephan Dürr , Christian Hoelbling

We address the locality problem arising in simulations, which take the square root of the staggered fermion determinant as a Boltzmann weight to reduce the number of dynamical quark tastes from four to two. We study analytically and…

High Energy Physics - Lattice · Physics 2009-11-10 B. Bunk , M. Della Morte , K. Jansen , F. Knechtli

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.

High Energy Physics - Lattice · Physics 2009-10-22 C. Bernard , M. Golterman

We investigate the continuum limit of the rooted staggered action in the 2-dimensional Schwinger model. We match both the unrooted and rooted staggered determinants with an overlap fermion determinant of two (one) flavors and a local pure…

High Energy Physics - Lattice · Physics 2008-11-26 Anna Hasenfratz , Roland Hoffmann

We investigate the continuum limit of the rooted staggered determinant in the 2-dimensional Schwinger model. We match both the unrooted and rooted staggered determinant with an overlap fermion determinant of two (one) flavors and a local…

High Energy Physics - Lattice · Physics 2009-11-11 Anna Hasenfratz , Roland Hoffmann

Improved staggered quark actions are designed to suppress flavour changing strong interactions. We discuss the perturbation theory for this type of actions and show the improvements to reduce the quark mass renormalisation compared to naive…

High Energy Physics - Lattice · Physics 2015-06-25 J. Hein , Q. Mason , G. P. Lepage , H. Trottier

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

The staggered fermion determinant is complex when the quark chemical potential mu is nonzero. Its fourth root, used in simulations with dynamical fermions, will have phase ambiguities that become acute when Re mu is sufficiently large. We…

High Energy Physics - Lattice · Physics 2008-11-26 Maarten Golterman , Yigal Shamir , Benjamin Svetitsky

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 investigate the use of two kinds of staggered fermion operators, smeared and unsmeared. The smeared operators extend over a $4^4$ hypercube, and tend to have smaller perturbative corrections than the corresponding unsmeared operators. We…

High Energy Physics - Lattice · Physics 2009-10-30 Greg Kilcup , Rajan Gupta , Stephen 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…

High Energy Physics - Lattice · Physics 2016-08-31 Claude Bernard , Maarten Golterman

As one test of the validity of the staggered-fermion fourth-root determinant trick, we examine the suppression of the topological susceptibility of the QCD vacuum in the limit of small quark mass. The suppression is sensitive to the number…

High Energy Physics - Lattice · Physics 2008-11-26 C. Aubin , C. Bernard , Brian Billeter , C. DeTar , Steven Gottlieb , E. Gregory , U. M. Heller , J. E. Hetrick , J. Osborn , R. L. Sugar , D. Toussaint

We study the phase diagram for staggered quarks using chiral perturbation theory. In beyond-the-standard-model simulations using a large number ($>8$) of staggered fermions, unphysical phases appear for coarse enough lattice spacing. We…

High Energy Physics - Lattice · Physics 2016-04-13 Christopher Aubin , Katrina Colletti , George Davila

We report the results of a numerical study of staggered overlap fermions, following the construction of Adams which reduces the number of tastes from 4 to 2 without fine-tuning. We study the sensitivity of the operator to the topology of…

High Energy Physics - Lattice · Physics 2015-03-18 Philippe de Forcrand , Aleksi Kurkela , Marco Panero

Quark number susceptibilities approach their ideal gas limit at sufficiently high temperatures. As in the case of other thermodynamic quantities, this limit itself is altered substantially on lattices with small temporal extent, N_t = 4-8,…

High Energy Physics - Lattice · Physics 2009-11-07 Rajiv V. Gavai
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