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We explore the possibility of computing fermionic correlators on the lattice by combining a domain decomposition with a multi-level integration scheme. The quark propagator is expanded in series of terms with a well defined hierarchical…

高能物理 - 格点 · 物理学 2016-05-18 Marco Cè , Leonardo Giusti , Stefan Schaefer

We propose an analysis method for the leading-twist operator product expansion based lattice QCD determinations of the valence parton distribution function (PDF). In the first step, we determine the confidence-intervals of the leading-twist…

高能物理 - 格点 · 物理学 2021-10-08 Nikhil Karthik , Raza Sabbir Sufian

We consider the renormalisation of lattice QCD operators with one and two covariant derivatives related to the first and second moments of generalised parton distributions and meson distribution amplitudes. Employing the clover fermion…

高能物理 - 格点 · 物理学 2010-10-28 M. Göckeler , R. Horsley , H. Perlt , P. E. L. Rakow , A. Schäfer , G. Schierholz , A. Schiller

We propose a method to improve lattice operators composed of Wilson fermions which allows the removal of all corrections of $O(a)$, including those proportional to the quark mass. It requires off-shell improvement of quark fields and…

高能物理 - 格点 · 物理学 2009-10-09 G. Martinelli , G. C. Rossi , C. T. Sachrajda , S. Sharpe , M. Talevi , M. Testa

We present a detailed Lattice QCD study of the unpolarized isovector quark Parton Distribution Function (PDF) using large-momentum effective theory framework. We choose a quasi-PDF defined by a spatial correlator which is free from mixing…

Following our previous proposal [1], we construct a class of good "lattice cross sections" (LCSs), from which we could study partonic structure of hadrons from ab initio lattice QCD calculations. These good LCSs, on the one hand, can be…

高能物理 - 唯象学 · 物理学 2018-01-12 Yan-Qing Ma , Jian-Wei Qiu

Recently the asymptotic lattice spacing dependence of spectral quantities in lattice QCD has been computed to $\mathrm{O}(a^2)$ using Symanzik Effective theory [1,2]. Here, we extend these results to matrix elements and correlators of local…

高能物理 - 格点 · 物理学 2024-09-04 Nikolai Husung

We propose a method using perturbation theory in the running coupling constant and the idea of scaling to determine improved actions for lattice field theories combining Wilson's renormalization group with Symanzik's improvement program .…

高能物理 - 理论 · 物理学 2009-10-28 C. Wieczerkowski , Y. Xylander

We compute the ratio between the scale $\Lambda_L$ associated with a lattice formulation of QCD using the overlap-Dirac operator, and $\Lambda_{MS-bar}$. To this end, the one-loop relation between the lattice coupling $g_0$ and the coupling…

高能物理 - 格点 · 物理学 2015-06-25 C. Alexandrou , E. Follana , H. Panagopoulos , E. Vicari

We introduce a lattice symmetry relation for field theories with general linear symmetries. For chiral symmetry the well-known Ginsparg-Wilson relation is reproduced. The new relation encodes the remnant of the original symmetry on the…

高能物理 - 格点 · 物理学 2010-01-21 Georg Bergner , Falk Bruckmann , Jan M. Pawlowski

We non-perturbatively determine the renormalization factor of the axial vector current in lattice QCD with $N_f=3$ flavors of Wilson-clover fermions and the tree-level Symanzik-improved gauge action. The (by now standard) renormalization…

高能物理 - 格点 · 物理学 2016-06-29 John Bulava , Michele Della Morte , Jochen Heitger , Christian Wittemeier

We discuss the recently proposed multiboson domain-decomposed factorization of the gauge-field dependence of the fermion determinant in lattice QCD. In particular, we focus on the case of a lattice divided in an arbitrary number of thick…

高能物理 - 格点 · 物理学 2022-11-22 Marco Cè , Leonardo Giusti , Stefan Schaefer

We extend chiral perturbation theory to include linear dependence on the lattice spacing $a$ for the Wilson action. The perturbation theory is written as a double expansion in the small quark mass $m_q$ and lattice spacing $a$. We present…

高能物理 - 格点 · 物理学 2009-11-07 Gautam Rupak , Noam Shoresh

We discuss kinematical enhancements of cutoff effects at short and intermediate distances. Starting from a pedagogical example with periodic boundary conditions, we switch to the case of the Schroedinger Functional, where the theoretical…

高能物理 - 格点 · 物理学 2009-03-04 Michele Della Morte , Rainer Sommer , Shinji Takeda

Even since the "quasi" parton distribution function (PDF) was proposed under the large-momentum effective theory (LaMET) framework, its renormalization under the lattice regularization has been a central challenge to be solved due to the…

高能物理 - 格点 · 物理学 2019-12-17 Yikai Huo , Peng Sun

We propose a novel general approach to locality of lattice composite fields, which in case of QCD involves locality in both quark and gauge degrees of freedom. The method is applied to gauge operators based on the overlap Dirac matrix…

高能物理 - 格点 · 物理学 2017-02-08 Andrei Alexandru , Ivan Horváth

We show that it is possible to improve the chiral behaviour and the approach to the continuum limit of correlation functions in lattice QCD with Wilson fermions by taking arithmetic averages of correlators computed in theories regularized…

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

In large-momentum effective theory (LaMET), calculating parton physics starts from calculating coordinate-space-$z$ correlation functions $\tilde h(z, a,P^z)$ in a hadron of momentum $P^z$ in lattice QCD. Such correlation functions involve…

高能物理 - 唯象学 · 物理学 2021-01-20 Xiangdong Ji , Yizhuang Liu , Andreas Schäfer , Wei Wang , Yi-Bo Yang , Jian-Hui Zhang , Yong Zhao

We show how to perform a resummation, to all orders in perturbation theory, of a certain class of gauge invariant tadpole-like diagrams in Lattice QCD. These diagrams are often largely responsible for lattice artifacts. Our resummation…

高能物理 - 格点 · 物理学 2015-06-25 H. Panagopoulos , E. Vicari

The Schr\"odinger functional in Wilson's lattice QCD leads to a sensible classical continuum theory which can be taken as starting point for a perturbative analysis. In dimensional regularization, the saddle point expansion of the…

高能物理 - 格点 · 物理学 2009-10-28 Stefan Sint