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Using the overlap-Dirac operator proposed by Neuberger, we have computed in lattice QCD the one-loop renormalization factors of ten operators which measure the lowest two moments of unpolarized and polarized non-singlet quark distributions.…

高能物理 - 格点 · 物理学 2015-06-25 Stefano Capitani

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 present our progress in the non-perturbative O(a) improvement and renormalization of tensor currents in three-flavor lattice QCD with Wilson-clover fermions and tree-level Symanzik improved gauge action. The mass-independent O(a)…

高能物理 - 格点 · 物理学 2019-10-16 Leonardo Chimirri , Patrick Fritzsch , Jochen Heitger , Fabian Joswig , Marco Panero , Carlos Pena , David Preti

Wilson lines are key objects in many QCD calculations. They are parallel transporters of the gauge field that can be used to render non-local operator products gauge invariant, which is especially useful for calculations concerning…

高能物理 - 唯象学 · 物理学 2015-09-25 Frederik F. Van der Veken

Flavor singlet and non-singlet axial Ward identities are investigated using the Wilson formulation of lattice QCD with Clover O(a)-improvement, which breaks explicitly chiral symmetry. The matching at one-loop order of all the relevant…

高能物理 - 格点 · 物理学 2015-06-25 D. Guadagnoli , S. Simula

For a long time, lattice QCD was unable to address the $x$-dependence of partonic distributions, direct access to which is impossible in Euclidean spacetime. Recent years have brought a breakthrough for such calculations when it was…

高能物理 - 格点 · 物理学 2022-02-16 Krzysztof Cichy

We compute the $ma$ dependence of lattice renormalization factors for sea quark matrix elements. The results differ from the $(1+ma)$ correction factor commonly used for valence quarks and connected current insertions. We find that for sea…

高能物理 - 格点 · 物理学 2016-08-31 J. -F. Lagae , K. -F. Liu

Starting from the continuum Dirac operator, I construct a renormalisation group blocking which transforms the continuum action into a lattice action, and I specifically consider the Wilson and overlap formalisms. For Wilson fermions the…

高能物理 - 格点 · 物理学 2009-10-06 Nigel Cundy

We derive bases of improved operators for all bilinear quark currents up to spin two (including the operators measuring the first moment of DIS Structure Functions), and compute their one-loop renormalization constants for arbitrary…

高能物理 - 格点 · 物理学 2008-11-26 S. Capitani , M. Goeckeler , R. Horsley , H. Perlt , P. Rakow , G. Schierholz , A. Schiller

We argue that the renormalization factors for nonlocal quark-antiquark and gluon operators at space-like and time-like separations connected by a Wilson line coincide to all orders in perturbation theory. We calculate the anomalous…

高能物理 - 唯象学 · 物理学 2020-09-25 V. M. Braun , K. G. Chetyrkin , B. A. Kniehl

Close to the continuum the lattice spacing affects the smallest eigenvalues of the Wilson Dirac operator in a very specific manner determined by the way in which the discretization breaks chiral symmetry. These effects can be computed…

高能物理 - 格点 · 物理学 2012-11-09 K. Splittorff

We present doubler-free gauge-invariant lattice vector gauge action for some real representations of Wilson gauge fields on an octet of fermions. It is based on a geometric representation of the Dirac equation as an evolution equation on…

高能物理 - 格点 · 物理学 2007-05-23 I. Schmelzer

Lattice calculations of matrix elements involving heavy-light quark bilinears are of interest in calculating a variety of properties of B and D mesons, including decay constants and mixing parameters. A large source of uncertainty in the…

高能物理 - 格点 · 物理学 2013-11-13 Oscar F. Hernandez , Brian R. Hill

The Szymanzik improvement program for gauge theories is most commonly implemented using forward finite difference corrections to the Wilson action. Central symmetric schemes naively applied, suffer from a doubling of degrees of freedom,…

高能物理 - 格点 · 物理学 2022-11-22 Alexander Rothkopf

The worldline casting of a gauge field system with spin-1/2 matter fields has provided a, particle-based, first quantization formalism in the framework of which the Bern-Kosower algorithms for efficient computations in QCD acquire a simple…

高能物理 - 理论 · 物理学 2010-02-03 A. I. Karanikas , C. N. Ktorides

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

We review the numerical analysis' understanding of Krylov subspace methods for solving (non-hermitian) systems of equations and discuss its implications for lattice gauge theory computations using the example of the Wilson fermion matrix.…

高能物理 - 格点 · 物理学 2009-10-28 Andreas Frommer

Lattice simulations on SU(2) and SU(3) gauge theories with matter fields in the fundamental, adjoint and two index symmetric representations are needed to determine if these theories are near or within the conformal window as required for…

高能物理 - 格点 · 物理学 2015-06-03 T. Karavirta , K. Rummukainen , K. Tuominen

Quark currents renormalization constants can in principle be safely computed in lattice perturbation theory. In practice, traditional lattice perturbative computations are quite cumbersome, so that so far only the first loop results were…

高能物理 - 格点 · 物理学 2007-05-23 F. Di Renzo , A. Mantovi , V. Miccio , C. Torrero , L. Scorzato

In this paper, we compute the renormalization factors for the gluino and gluon fields, the gauge parameter, the coupling constant, as well as the scalar, pseudoscalar, and axial-vector gluino bilinear operators in N=1 supersymmetric…

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