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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…

高能物理 - 格点 · 物理学 2011-06-10 Andreas S. Kronfeld

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

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

We explore the compact U(1) lattice gauge theory with staggered fermions and gauge field action -\sum_P [\beta \cos(\Theta_P) + \gamma \cos(2\Theta_P)], both for dynamical fermions and in the quenched approximation. (\Theta_P denotes the…

高能物理 - 格点 · 物理学 2009-10-30 J. Cox , W. Franzki , J. Jersák , C. B. Lang , T. Neuhaus

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

Lattice QCD simulations with staggered fermions rely on the ``fourth-root trick.'' The validity of this trick has been proved for free staggered fermions using renormalization-group block transformations. I review the elements of the…

高能物理 - 格点 · 物理学 2015-06-25 Yigal Shamir

We present results on the QCD equation of state, obtained with two different improved dynamical staggered fermion actions and almost physical quark masses. Lattice cut-off effect are discussed in detail as results for three different…

高能物理 - 格点 · 物理学 2008-10-06 Christian Schmid , for RBC-Bielefeld , HotQCD Collaborations

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…

高能物理 - 格点 · 物理学 2007-05-23 Michael Creutz

One of the major frontiers of lattice field theory is the inclusion of light fermions in simulations, particularly in pursuit of accurate, first principles predictions from lattice QCD. With dedicated Teraflops-scale computers currently…

高能物理 - 格点 · 物理学 2008-12-18 Robert D. Mawhinney

A unified classification and analysis is presented of two dimensional Dirac operators of QCD-like theories in the continuum as well as in a naive lattice discretization. Thereby we consider the quenched theory in the strong coupling limit.…

高能物理 - 格点 · 物理学 2013-10-28 Mario Kieburg , Jacobus J. M. Verbaarschot , Savvas Zafeiropoulos

We compute the quark number susceptibilities in two flavor QCD for staggered fermions by adding the chemical potential as a Lagrange multiplier for the point-split number density term. Since lesser number of quark propagators are required…

高能物理 - 格点 · 物理学 2014-11-21 R. V. Gavai , Sayantan Sharma

The calculation of force is most difficult part in lattice Quantum Chromodynamics (QCD). This lecture gives the details of the force calculation in one-loop Symanzik improved action, Wilson fermion with clover term, asqtad fermion, HISQ…

高能物理 - 格点 · 物理学 2021-12-14 Daming Li

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.…

高能物理 - 格点 · 物理学 2007-05-23 Anna Hasenfratz

We calculate the fermion self-energy at O(alpha_s) for the Symanzik improved staggered fermion action used in recent lattice simulations by the MILC collaboration. We demonstrate that the algebraic approach to lattice perturbation theory,…

高能物理 - 格点 · 物理学 2009-11-10 Thomas Becher , Kirill Melnikov

We review the techniques of lattice QCD calculations for excited hadrons with light quarks and outline the future challenges that are faced in calculations with fully dynamical fermions.

高能物理 - 格点 · 物理学 2011-11-10 Christof Gattringer

First results from simulations of improved actions for both gauge fields and staggered fermion fields in three dimensional QCD are presented. This work provides insight into some issues of relevance to lattice theories in four dimensions.…

高能物理 - 格点 · 物理学 2011-07-19 Howard D. Trottier

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

We prove that lattice QCD generates the axial anomaly in the continuum limit under very general conditions on the lattice action, which includes the case of Ginsparg-Wilson fermions. The ingredients going into the proof are gauge…

高能物理 - 格点 · 物理学 2009-10-31 M. Frewer , H. J. Rothe

A way to identify the would-be zero-modes of staggered lattice fermions away from the continuum limit is presented. Our approach also identifies the chiralities of these modes, and their index is seen to be determined by gauge field…

高能物理 - 格点 · 物理学 2010-04-14 David H. Adams
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