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We establish a factorization relation between baryon quasi-distribution amplitudes (quasi-DAs) defined with gradient flow and their counterparts renormalized in the $\overline{MS}\,$ scheme. Working beyond the small flow-time limit, we…

高能物理 - 唯象学 · 物理学 2025-10-17 Jia-lu Zhang , Mu-Hua Zhang

We compute non-perturbative renormalization constants of fermionic bilinears for the chirally improved lattice fermions in the quenched approximation of QCD. We address finite size effects and the influence of Gribov copies. Our results are…

高能物理 - 格点 · 物理学 2014-11-17 Christof Gattringer , M. Göckeler , Philipp Huber , C. B. Lang

We present a detailed study of the helicity-dependent and helicity-independent collinear parton distribution functions (PDFs) of the nucleon, using the quasi-PDF approach. The lattice QCD computation is performed employing twisted mass…

We study non-perturbative improvement in SU(3) lattice gauge theory coupled to fermions in the fundamental and two-index symmetric representations. Our lattice action is defined with hypercubic smeared links incorporated into the…

高能物理 - 格点 · 物理学 2011-06-07 Yigal Shamir , Benjamin Svetitsky , Evgeny Yurkovsky

It is possible to improve the chiral behaviour and the approach to the continuum limit of correlation functions in lattice QCD with standard and twisted Wilson fermions by taking arithmetic averages of correlators computed in theories…

高能物理 - 格点 · 物理学 2009-11-10 R. Frezzotti , G. C. Rossi

We report on non-perturbative computations of the improvement coefficient c_V and the renormalization factor Z_V of the vector current in three-flavour O(a) improved lattice QCD with Wilson quarks and tree-level Symanzik improved gauge…

高能物理 - 格点 · 物理学 2018-04-18 Jochen Heitger , Fabian Joswig , Anastassios Vladikas , Christian Wittemeier

We present the first lattice results on isovector unpolarized and longitudinally polarized parton distribution functions (PDFs) at physical pion mass. The PDFs are obtained using the large-momentum effective field theory (LaMET) framework…

高能物理 - 格点 · 物理学 2018-09-12 Huey-Wen Lin , Jiunn-Wei Chen , Tomomi Ishikawa , Jian-Hui Zhang

We discuss the successes and limitations of statistical sampling for a sequence of models studied in the context of lattice QCD and emphasize the need for new methods to deal with finite-density and real-time evolution. We show that these…

高能物理 - 格点 · 物理学 2022-09-21 Yannick Meurice , Ryo Sakai , Judah Unmuth-Yockey

These notes aim to provide a pedagogical introduction to Lattice QCD. The topics covered include the scope of LQCD calculations, lattice discretization of gauge and fermion (naive, Wilson, and staggered) actions, doubling problem, improved…

高能物理 - 格点 · 物理学 2007-05-23 Rajan Gupta

We present a high order perturbative computation of the renormalization constants Z_V, Z_A and of the ratio Z_P/Z_S for Wilson fermions. The computational setup is the one provided by the RI'-MOM scheme. Three- and four-loop expansions are…

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

We introduce a factorization of the fermion determinant in lattice QCD with Wilson-type fermions that leads to a bosonic action which is local in the block fields. The interaction among gauge fields on distant blocks is mediated by…

高能物理 - 格点 · 物理学 2017-03-01 Marco Cè , Leonardo Giusti , Stefan Schaefer

Wilson lines, being comparators that render non-local operator products gauge invariant, are extensively used in QCD calculations, especially in small-$x$ calculations, calculations concerning validation of factorisation schemes and in…

高能物理 - 唯象学 · 物理学 2015-02-03 Frederik F. Van der Veken

We compare the behavior of different lattice Dirac operators in gauge backgrounds which are lattice discretizations of a classical instanton. In particular we analyze the standard Wilson operator, a chirally improved Dirac operator and the…

高能物理 - 格点 · 物理学 2008-11-26 Christof Gattringer , Meinulf Göckeler , C. B. Lang , P. E. L. Rakow , Andreas Schäfer

We present a method for formulating gauge theories of chiral fermions in lattice field theory. The method makes use of a Wilson mass to remove doublers. Gauge invariance is then restored by modifying the theory in two ways: the magnitude of…

高能物理 - 格点 · 物理学 2009-10-28 Geoffrey T. Bodwin

In lattice QCD computations a substantial amount of work is spent in solving linear systems arising in Wilson's discretization of the Dirac equations. We show first numerical results of the extension of the two-level DD-\alpha AMG method to…

高能物理 - 格点 · 物理学 2013-07-24 A. Frommer , K. Kahl , S. Krieg , B. Leder , M. Rottmann

Lattice Gauge theories have been studied in the physics literature as discrete approximations to quantum Yang-Mills theory for a long time. Primary statistics of interest in these models are expectations of the so called "Wilson loop…

概率论 · 数学 2017-08-14 Riddhipratim Basu , Shirshendu Ganguly

The quasi-PDF approach provides a path to computing parton distribution functions (PDFs) using lattice QCD. This approach requires matrix elements of a power-divergent operator in a nucleon at high momentum and one generically expects…

We present perturbative and non-perturbative results on the renormalization constants of the local and one-derivative vector and axial vector operators. Non-perturbative results are obtained using the twistedmassWilson fermion formulation…

高能物理 - 格点 · 物理学 2010-12-15 C. Alexandrou , M. Constantinou , T. Korzec , H. Panagopoulos , F. Stylianou

The non-local dependence of the fermion determinant on the gauge field limits our ability of simulating Quantum Chromodynamics on the lattice. Here we present a factorization of the gauge field dependence of the fermion determinant based on…

高能物理 - 格点 · 物理学 2022-11-15 Matteo Saccardi , Leonardo Giusti

The problem of unphysical zero modes in lattice QCD with Wilson fermions can be solved in a clean way by including a mass term proportional to $i \psibar \gamma_5 \tau^3 \psi$ in the standard lattice theory with Nf=2 mass degenerate Wilson…

高能物理 - 格点 · 物理学 2015-06-25 Roberto Frezzotti , Pietro Antonio Grassi , Stefan Sint , Peter Weisz