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Related papers: Diseases with rooted staggered quarks

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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

We extend previous work on finite-size effects with dynamical staggered quarks to the quenched approximation. We again emphasize the large volume limit that is of interest for spectrum calculations which may hope to approach the…

High Energy Physics - Lattice · Physics 2009-10-28 Steven Gottlieb

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…

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

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

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…

High Energy Physics - Lattice · Physics 2009-11-11 C. Bernard

We construct domain wall fermions with a staggered kernel and investigate their spectral and chiral properties numerically in the Schwinger model. In some relevant cases we see an improvement of chirality by more than an order of magnitude…

High Energy Physics - Lattice · Physics 2016-12-21 Christian Hoelbling , Christian Zielinski

Conformal fluctuations of the metric tensor at the Planck scale are considered. They give rise to a lower bound of the proper length. This leads to finite expressions for quantities related to propagators without the need of renormalization…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alex H. Blin

In this contribution we revisit simulations of two-color QCD with rooted staggered quarks at finite density, where baryon-number spontaneously breaks and a diquark condensate forms. We thereby pay special attention to simulating outside the…

High Energy Physics - Lattice · Physics 2017-01-18 Lukas Holicki , Jonas Wilhelm , Dominik Smith , Björn Wellegehausen , Lorenz von Smekal

To reduce errors in light-quark mass determinations, it is now necessary to consider electromagnetic contributions to light-meson masses. Calculations using staggered quarks and quenched photons are currently underway. Suitably-extended…

High Energy Physics - Lattice · Physics 2010-11-18 C. Bernard , E. D. Freeland

If the fermion mass is large enough, the phase of the fermion determinant of QCD at finite density is strongly correlated with the imaginary part of the Polyakov loop. This fact can be exploited to reduce the fluctuations of the phase…

High Energy Physics - Lattice · Physics 2015-06-25 Philippe de Forcrand , Victor Laliena

The fourth root approximation in LQCD simulations with dynamical staggered fermions requires justification. We test its validity numerically in the interacting theory in a renormalization group framework.

High Energy Physics - Lattice · Physics 2010-11-15 C. Bernard , C. DeTar , Steven Gottlieb , U. Heller , J. E. Hetrick , L. Levkova , F. Maresca , D. Renner , R. Sugar , D. Toussaint

We discuss possible definitions of discrete Dirac operators, and discuss their continuum limits. It is well-known in the lattice field theory that the straightforward discretization of the Dirac operator introduces unwanted spectral…

Mathematical Physics · Physics 2023-08-17 Shu Nakamura

Preliminary results from simulations with 2+1 dynamical quark flavors at a lattice spacing of 0.09 fm are combined with earlier results at a=0.13 fm. We examine the approach to the continuum limit and investigate the dependence of the…

High Energy Physics - Lattice · Physics 2008-11-26 C. Bernard , T. Burch , T. DeGrand , C. DeTar , Steven Gottlieb , E. B. Gregory , U. M. Heller , J. Osborn , R. Sugar , D. Toussaint

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…

High Energy Physics - Lattice · Physics 2011-06-10 Andreas S. Kronfeld

Three-loop counterterms for the Standard Model (SM) revealed that the matrix of anomalous dimensions ($\gamma$) of quarks is divergent in the $d \to 4$ limit unless a carefully chosen non-Hermitian square-root of $Z$ matrix is used in the…

High Energy Physics - Phenomenology · Physics 2021-10-04 Adrian Lewandowski

The diagonalization of general mass matrices is a more delicate problem when eigenvalue degeneracies exist. In this case, often overlooked in the literature, some difficulties arise related to the freedom in the choice of basis in…

High Energy Physics - Phenomenology · Physics 2015-06-25 J. A. Aguilar-Saavedra

We present results on the sum of the masses of light and strange quark using improved staggered quarks. Our calculation uses 2+1 flavours of dynamical quarks. The effects of the dynamical quarks are clearly visible.

High Energy Physics - Lattice · Physics 2009-11-07 J. Hein , C. Davies , G. P. Lepage , Q. Mason , H. Trottier

We review several results that have been obtained using lattice QCD with the staggered quark formulation. Our focus is on the quantities that have been calculated numerically with low statistical errors and have been extrapolated to the…

High Energy Physics - Lattice · Physics 2008-11-26 C. Aubin

We study the improvement of staggered fermions using hypercubically smeared (HYP) links. We calculate the strange quark mass and the kaon B-parameter, $B_K$, in quenched QCD on a $16^3 \times 64$ lattice at $\beta=6.0$. We find…

High Energy Physics - Lattice · Physics 2014-11-17 Weonjong Lee , Tanmoy Bhattacharya , George T. Fleming , Rajan Gupta , Gregory Kilcup , Stephen R. Sharpe

Although taste violations significantly affect the results of staggered calculations of pseudoscalar and heavy-light mesonic quantities, those entering staggered calculations of baryonic quantities have not been quantified. Here I develop…

High Energy Physics - Lattice · Physics 2008-11-26 Jon A. Bailey