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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 have extended staggered chiral perturbation theory to O(a^2 p^2), O(a^4), and O(a^2 m), the orders necessary for a full next-to-leading order calculation of pseudo-Goldstone boson masses and decay constants including taste-symmetry…

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

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

Results on the thermal transition of QCD with 3 degenerate flavors, in the lower-left corner of the Columbia plot, are puzzling. The transition is expected to be first-order for massless quarks, and to remain so for a range of quark masses…

High Energy Physics - Lattice · Physics 2017-02-02 Philippe de Forcrand , Massimo D'Elia

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 study dynamical fermion effects in lattice QCD at finite temperature. The method adopted is basically the extrapolation from negative flavour numbers already tested at zero temperature and based on the simulation of local bosonic…

High Energy Physics - Lattice · Physics 2009-10-28 G. M. de Divitiis , R. Frezzotti , M. Masetti , R. Petronzio

The fermionic part of the Schr\"odinger functional of QCD is formulated in the lattice regularization with the staggered fermion. The boundary condition imposed on the staggered fermion field are examined in terms of the four-component…

High Energy Physics - Lattice · Physics 2007-05-23 Shunji Miyazaki , Yoshio Kikukawa

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

We present a completed random matrix theory for staggered fermions which incorporates all taste symmetry breaking terms at their leading order from the staggered chiral Lagrangian. This is an extension of previous work which only included…

High Energy Physics - Lattice · Physics 2012-04-26 James C. Osborn

We present a scaling study of the QCD spectrum using a smeared P4 staggered fermion formulation, in which three, five, and seven-link staples are added to reduce the effects of flavor symmetry breaking. These studies are performed on…

High Energy Physics - Lattice · Physics 2019-08-14 Michael Cheng

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

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 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

Staggered fermion shift symmetries correspond to translations of the fermion field within the unit cell of a hypercubic lattice. They satisfy an algebra and in four Euclidean dimensions can be related to a discrete subgroup of an $SU(4)$…

High Energy Physics - Lattice · Physics 2024-10-08 Simon Catterall , Arnab Pradhan

We present a study of the flavor symmetry breaking in the pion spectrum for various improved staggered fermion actions. To study the effects of link fattening and tadpole improvement, we use three different variants of the p4 action -…

High Energy Physics - Lattice · Physics 2008-11-26 M. Cheng , N. H. Christ , C. Jung , F. Karsch , R. D. Mawhinney , P. Petreczky , K. Petrov

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

In this note I briefly discuss ideas related to the so-called fourth-root trick. A decomposition of the ``rooted'' fermion effective action into Wilson fermions and a nonlocal, lattice spacing suppressed functional is presented, complete…

High Energy Physics - Lattice · Physics 2007-05-23 Joel Giedt

We investigate a class of actions for lattice QCD with staggered quarks aimed at reducing the flavour symmetry violations associated with using staggered fermions. These actions replace the gauge field link fields in the quark action with…

High Energy Physics - Lattice · Physics 2014-11-17 J. -F. Lagae , D. K. Sinclair

Lattice QCD with an even number of degenerate quark flavours is shown to be a limit of a local bosonic field theory. The action of the bosonic theory is real and bounded from below so that standard simulation algorithms can be expected to…

High Energy Physics - Lattice · Physics 2009-10-22 Martin Luescher

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