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Related papers: Chiral random matrix theory for staggered fermions

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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…

High Energy Physics - Lattice · Physics 2007-05-23 James C. Osborn

We present a random matrix theory (RMT) for the staggered lattice QCD Dirac operator. The staggered RMT is equivalent to the zero-momentum limit of the staggered chiral Lagrangian and includes all taste breaking terms at their leading…

High Energy Physics - Lattice · Physics 2011-06-03 James C. Osborn

We study taste and Euclidean rotational symmetry violation for staggered fermions at nonzero lattice spacing using staggered chiral perturbation theory. We extend the staggered chiral Lagrangian to O(a^2 p^2), O(a^4) and O(a^2 m), the…

High Energy Physics - Lattice · Physics 2010-11-19 Stephen R. Sharpe , Ruth S. Van de Water

We present analytical and numerical results on symmetry properties of staggered fermions with taste splitting mass terms. As staggered species split differently for different types of taste splitting masses, various lattice symmetry…

High Energy Physics - Lattice · Physics 2024-11-13 Nuha Chreim , Christian Hoelbling

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

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

We compute chiral logarithms in the presence of "taste" symmetry breaking of staggered fermions. The lagrangian of Lee and Sharpe is generalized and then used to calculate the logs in $\pi$ and $K$ masses. We correct an error in Ref. [1]…

High Energy Physics - Lattice · Physics 2008-11-26 C. Aubin , C. Bernard , C. DeTar , Steven Gottlieb , Urs M. Heller , K. Orginos , R. Sugar , D. Toussaint

At non-zero lattice spacing the flavor symmetry of staggered fermions is broken to a discrete subgroup. We show that in the chiral limit the flavor symmetry of the pion effective Lagrangian enlarges to an SO(4) subgroup of the continuum…

High Energy Physics - Lattice · Physics 2009-10-31 Weonjong Lee , Stephen 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

Recently, random matrix theory predictions for the distribution of low-lying Dirac operator eigenvalues have been extended to include lattice effects for both staggered and Wilson fermions. We computed low-lying eigenvalues for the…

High Energy Physics - Lattice · Physics 2011-12-09 Urs M. Heller

The topological susceptibility of the vacuum in quantum chromodynamics has been simulated numerically using the Asqtad improved staggered fermion formalism. At nonzero lattice spacing the residual fermion doublers (fermion ``tastes'') in…

High Energy Physics - Lattice · Physics 2008-11-26 Brian Billeter , Carleton DeTar , James Osborn

We present recent results from lattice simulations of 2+1 flavors of improved staggered fermions at zero baryon number density near the high temperature crossover. Included are new results from simulations of asqtad fermions at Nt = 12 and…

High Energy Physics - Lattice · Physics 2011-01-27 Wolfgang Söldner

The eigenvalue spectra of staggered fermions with an Adams and/or Hoelbling mass term are studied. The chiralities of the eigenmodes reflect whether the chirality linked to the unflavored approximate (\gamma_5 \times 1) or the flavored…

High Energy Physics - Lattice · Physics 2013-07-29 Stephan Durr

We investigate a proposal for the construction of models with chiral fermions on the lattice using staggered fermions. In this approach the gauge invariance is broken by the coupling of the staggered fermions to the gauge fields. We aim at…

High Energy Physics - Lattice · Physics 2009-10-22 Wolfgang Bock , Jan Smit , Jeroen C. Vink

We show how to compute chiral logarithms that take into account both the $\cO(a^2)$ taste-symmetry breaking of staggered fermions and the fourth-root trick that produces one taste per flavor. The calculation starts from the Lee-Sharpe…

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

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…

High Energy Physics - Lattice · Physics 2011-05-18 David H. Adams

We incorporate heavy-light mesons into staggered chiral perturbation theory, working to leading order in 1/m_Q, where m_Q is the heavy quark mass. At first non-trivial order in the chiral expansion, staggered taste violations affect the…

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

As a consistency check of the staggered-fermion fourth-root approximation, we analyze the a_0 and f_0 correlators, including the effects of two-meson taste-multiplet intermediate states. Rooted staggered chiral perturbation theory describes…

High Energy Physics - Lattice · Physics 2008-11-26 C. W. Bernard , C. DeTar , Ziwen Fu , S. Prelovsek

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

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
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