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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…

高能物理 - 格点 · 物理学 2011-05-05 Stephen R. Sharpe

In [Phys.Rev.Lett.92:162002 (2004), hep-lat/0312025] expressions for the continuous Euclidean time limits of various lattice fermion determinants were derived and compared in order to test universality expectations in Lattice QCD. Here we…

高能物理 - 格点 · 物理学 2009-11-10 David H. Adams

I define lattice fermions in five Euclidean dimensions and the corresponding effective theory in four dimensions. The main properties of these theories include the suppression of high momentum modes of the lattice Dirac operator and their…

高能物理 - 格点 · 物理学 2008-11-26 Artan Borici

Accurately calculating the mass of flavor-singlet meson states from numerical lattice simulations is an important milestone for lattice QCD. Careful measurement of the full pseudoscalar flavor-singlet propagator is also a crucial step in…

高能物理 - 格点 · 物理学 2008-11-26 Eric B. Gregory , Alan Irving , Chris M. Richards , Craig McNeile , Alistair Hart

We give a full account of the Numerical Stochastic Perturbation Theory method for Lattice Gauge Theories. Particular relevance is given to the inclusion of dynamical fermions, which turns out to be surprisingly cheap in this context. We…

高能物理 - 格点 · 物理学 2008-11-26 F. Di Renzo , L. Scorzato

We demonstrate the viability of improved staggered light quarks in studies of heavy-light systems. Our method for constructing heavy-light operators exploits the close relation between naive and staggered fermions. The new approach is…

高能物理 - 格点 · 物理学 2009-11-07 Matthew Wingate , Junko Shigemitsu , Christine T. H. Davies , G. Peter Lepage , Howard D. Trottier

We construct a perfect lattice action for staggered fermions by blocking from the continuum. The locality, spectrum and pressure of such perfect staggered fermions are discussed. We also derive a consistent fixed point action for free gauge…

高能物理 - 格点 · 物理学 2009-10-28 W. Bietenholz , R. Brower , S. Chandrasekharan , U. -J. Wiese

The worldsheet formulation is introduced for lattice gauge theories with dynamical fermions. The partition function of lattice compact QED with staggered fermions is expressed as a sum over surfaces with border on self-avoiding fermionic…

高能物理 - 格点 · 物理学 2008-02-03 J. M. Aroca , H. Fort , R. Gambini

We discuss the Schr\"odinger functional in lattice QCD with staggered fermions including its order $O(a)$ boundary counterterms. We relate it, in the classical continuum limit, to the Schr\"odinger functional as obtained in the same limit…

高能物理 - 格点 · 物理学 2009-10-30 Urs M. Heller

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…

高能物理 - 格点 · 物理学 2008-11-26 Michael Creutz

The staggered fermion approach to build models with chiral fermions is briefly reviewed. The method is tested in a U(1) model with axial vector coupling in two and four dimensions.

高能物理 - 格点 · 物理学 2009-10-22 W. Bock , J. Smit , J. C. Vink

A serious difficulty in conventional lattice field theory calculations is the coupling between the chiral and continuum limits. With both staggered and Wilson fermions, the chiral limit cannot be realized without first taking the limit of…

We simulate $ SU(2) $ lattice gauge theory using dynamical reduced staggered fermions. The latter lead to two rather than four Dirac fermions in the continuum limit. We review the derivation and properties of reduced staggered fermions and…

高能物理 - 格点 · 物理学 2019-01-23 Simon Catterall , Nouman Butt

We extend the construction of the Symanzik effective action to include rooted staggered fermions, starting from a generalization of the renormalization-group approach to rooted staggered fermions. The Symanzik action, together with the…

高能物理 - 格点 · 物理学 2008-11-26 Claude Bernard , Maarten Golterman , Yigal Shamir

In the staggered fermion formulation of lattice QCD, we construct diquark operators to be embedded in singly heavy baryons. The group theoretical connections between the continuum and lattice staggered diquark representations are…

高能物理 - 格点 · 物理学 2008-11-26 Steven Gottlieb , Heechang Na , Kazuhiro Nagata

The sign problem is a major obstacle to our understanding of the phase diagram of QCD at finite baryon density. Several numerical methods have been proposed to tackle this problem, but a full solution to the sign problem is still elusive.…

高能物理 - 格点 · 物理学 2015-06-24 Helvio Vairinhos , Philippe de Forcrand

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…

高能物理 - 格点 · 物理学 2008-11-26 Claude Bernard , Maarten Golterman , Yigal Shamir , Stephen Sharpe

We introduce a linearized version of group field theory. It can be viewed either as a group field theory over the additive group of a vector space or as an asymptotic expansion of any group field theory around the unit group element. We…

高能物理 - 理论 · 物理学 2014-11-20 Joseph Ben Geloun , Thomas Krajewski , Jacques Magnen , Vincent Rivasseau

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…

高能物理 - 格点 · 物理学 2008-11-26 C. Aubin

I discuss the properties of pions in ``partially quenched'' theories, i.e. those in which the valence and sea quark masses, $m_V$ and $m_S$, are different. I point out that for lattice fermions which retain some chiral symmetry on the…

高能物理 - 格点 · 物理学 2014-11-17 Stephen R. Sharpe