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It is shown that the flavour projection of staggered fermions can be written as a projection between the fields on four separate, but parallel, lattices, where the fields on each are modified forms of the standard staggered fermion field.…

高能物理 - 格点 · 物理学 2010-10-27 Steven Watterson

I have performed scaling tests using quenched spectroscopy of a family of fermion actions which have a hypercubic kinetic term, gauge connections built of smeared links, and an anomalous magnetic moment term. These actions show improved…

高能物理 - 格点 · 物理学 2010-11-19 MILC Collaboration , T. DeGrand

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

We discuss periodic compactification and latticization of a 5-D U(1) theory with a Dirac fermion, yielding a 1+3 effective theory. We address subtleties in the lattice fermionic action,such as fermion doubling and the Wilson term. We…

高能物理 - 唯象学 · 物理学 2009-11-07 Christopher T. Hill , Adam K. Leibovich

We give a brief sketch of lattice structure function calculations and review previous results for the axial coupling $g_A$. We outline a new technique for treating fermions on the lattice that preserves chiral symmetry, domain wall…

高能物理 - 格点 · 物理学 2007-05-23 T. Blum , S. Sasaki

A local transformation from fermionic operators to spin matrices is proposed and studied in this work. For this purpose, a system of fermions on a lattice is considered and one applies the scheme to replace the fermionic variables with spin…

高能物理 - 格点 · 物理学 2022-06-22 Adam Wyrzykowski

Functional iterations such as Newton's are a popular tool for polynomial root-finding. We consider realistic situation where some (e.g., better-conditioned) roots have already been approximated and where further computations is directed to…

数值分析 · 数学 2019-07-09 Remi Imbach , Victor Y. Pan , Chee Yap , Ilias S. Kotsireas , Vitaly Zaderman

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…

高能物理 - 格点 · 物理学 2011-12-09 Urs M. Heller

We investigate the low-lying eigenvalues of the improved Wilson-Dirac operator in the Schroedinger functional with two dynamical quark flavors. At a lattice spacing of approximately 0.1 fm we find more very small eigenvalues than in the…

高能物理 - 格点 · 物理学 2009-11-10 M. Della Morte , R. Hoffmann , F. Knechtli , U. Wolff

We study cutoff effects at tree-level of perturbation theory for standard Wilson and Wilson twisted mass fermionic lattice actions with Nf=2 flavour degenerate quarks. The discretization effects are investigated by computing the mass…

高能物理 - 格点 · 物理学 2009-04-14 K. Cichy , J. Gonzalez Lopez , K. Jansen , A. Kujawa , A. Shindler

We discuss a number of lattice fermion actions solving the Ginsparg-Wilson relation. We also consider short ranged approximate solutions. In particular, we are interested in reducing the lattice artifacts, while avoiding (or suppressing)…

高能物理 - 格点 · 物理学 2008-11-26 W. Bietenholz

In this second installment of a series of two papers on the $\tfrac{1}{2}$-BPS Wilson line defect CFT in $\mathcal{N}=4$ super Yang-Mills, we focus on dynamical aspects of the theory, in particular studying four-point functions with…

高能物理 - 理论 · 物理学 2024-05-03 Pietro Ferrero , Carlo Meneghelli

We present our first set of results for charm physics, using the mixed-action setup introduced in a companion paper. Maximally twisted Wilson valence fermions are used on a sea of non-perturbatively $O(a)$-improved Wilson fermions, made up…

We have reported elsewhere in this conference on our continuing project to determine non-perturbative Wilson coefficients on the lattice, as a step towards a completely non-perturbative determination of the nucleon structure. In this talk…

The contributions of scalars and fermions to the null polygonal bosonic Wilson loops/gluon MHV scattering amplitudes in $\mathcal{N} = 4$ SYM are considered. We first examine the re-summation of scalars at strong coupling. Then, we…

高能物理 - 理论 · 物理学 2018-07-19 Alfredo Bonini , Davide Fioravanti , Simone Piscaglia , Marco Rossi

The legality of the "rooting trick" in dynamical staggered fermion simulations is discussed, i.e. whether the theory with the Boltzmann weight $\det^{1/4}(D_\mathrm{st})$ yields the right continuum limit. Since the problem is unsolved,…

高能物理 - 格点 · 物理学 2007-05-23 Stephan Durr

A transformation is devised to convert any lattice Dirac fermion operator into a Ginsparg-Wilson Dirac fermion operator. For the standard Wilson-Dirac lattice fermion operator, the transformed new operator is local, free of O(a) lattice…

高能物理 - 格点 · 物理学 2011-02-16 Ting-Wai Chiu

We give a descriptive review of the Fermionic basis approach to the theory of correlation functions of the XXZ quantum spin chain. The emphasis is on explicit formulae for short-range correlation functions which will be presented in a way…

统计力学 · 物理学 2021-09-22 Frank Göhmann , Raphael Kleinemühl , Alexander Weiße

We address the problem of the fermion species doubling on the Lattice. Our strategy is to factorize the fermion doubles from the action. The mass term of the Dirac-Wilson action is changed. In this case the extra roots which appear in the…

高能物理 - 格点 · 物理学 2009-10-31 Pedro J. de A. Bicudo

We describe an algebraic algorithm which allows to express every one-loop lattice integral with gluon or Wilson-fermion propagators in terms of a small number of basic constants which can be computed with arbitrary high precision. Although…

高能物理 - 格点 · 物理学 2009-10-28 Giuseppe Burgio , Sergio Caracciolo , Andrea Pelissetto