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Related papers: Lattice DIS Structure Functions

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Lattice quantum chromodynamics (QCD) will soon become the primary theoretical tool in rigorous studies of single- and multi-hadron sectors of QCD. It is truly ab initio meaning that its only parameters are those of standard model. The…

High Energy Physics - Lattice · Physics 2014-09-09 Zohreh Davoudi

We have technically improved the non-perturbative renormalization method, proposed by Martinelli et al., by using quark momentum sources and sinks. Composite two-fermion operators up to three derivatives have been measured for Wilson…

High Energy Physics - Lattice · Physics 2008-11-26 M. Goeckeler , R. Horsley , H. Oelrich , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

Many lattice QCD simulations now have many lattice spacings available, and it is of interest to investigate how they scale. In this talk we first derive renormalisation group equations appropriate for 2+1 clover fermions. This is then used…

High Energy Physics - Lattice · Physics 2025-01-29 K. U. Can , R. Horsley , P. E. L. Rakow , G. Schierholz , H. Stüben , R. D. Young , J. M. Zanotti

The renormalisation constants for local bilinear quark operators are calculated using the Sheikholeslami-Wohlert improved action. In addition we compute the renormalisation constant of the leading gluon operator for different group…

High Energy Physics - Lattice · Physics 2008-11-26 M. Goeckeler , R. Horsley , E. -M. Ilgenfritz , H. Oelrich , H. Perlt , P. Rakow , G. Schierholz , A. Schiller , P. Stephenson

The lattice regularization of QCD provides us with the most systematic way of computing non-perturbative properties of hadrons directly from the first principles of QCD. The recent rapid development of parallel computers has enabled us to…

High Energy Physics - Phenomenology · Physics 2009-10-31 K. Kanaya

We calculate one-loop renormalization factors of three-quark operators, which appear in the low energy effective Lagrangian of the nucleon decay, for $O(a)$-improved quark action and gauge action including six-link loops. This calculation…

High Energy Physics - Lattice · Physics 2016-12-28 S. Aoki , Y. Kuramashi , T. Onogi , N. Tsutsui

We study the renormalization of a complete set of gauge-invariant gluon nonlocal operators in lattice perturbation theory. We determine the mixing pattern under renormalization of these operators using symmetry arguments, which extend…

High Energy Physics - Lattice · Physics 2024-07-09 Demetrianos Gavriel , Haralambos Panagopoulos , Gregoris Spanoudes

Contact interactions can be used to describe a system of particles at unitarity, contribute to the leading part of nuclear interactions and are numerically non-trivial because they require a proper regularization and renormalization scheme.…

High Energy Physics - Lattice · Physics 2020-01-20 Christopher Körber , Evan Berkowitz , Thomas Luu

We summarize recent non-perturbative results obtained for the renormalization constants computed in the RI'-MOM scheme for $N_{\rm f}=2+1+1$ twisted mass QCD. Our implementation employs the Iwasaki gauge action and four dynamical degenerate…

For the first time, we compute non-perturbatively, i.e. without lattice perturbation theory, the renormalization constants of two-fermion operators in the quenched approximation at $\beta=6.0$, 6.2 and 6.4 using the Wilson and the…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. Gimenez

We suggest new modification (we call it a noise reduction procedure) for Steinhardt parameters which are often used for detecting crystalline structures in computer simulation of solids and soft matter systems. We have also developed a new…

Computational Physics · Physics 2024-04-25 Evgeniia Filimonova , Viktor Ivanov , Timur Shakirov

We study lattice QCD with two flavors of dynamical domain wall quarks. With renormalization group motivated actions, we find chiral symmetry can be preserved to a high degree at lattice cut off of a^{-1} \sim 2 GeV even for fifth dimension…

High Energy Physics - Lattice · Physics 2015-06-25 Taku Izubuchi , RBC Collaboration

In this study, we investigate the renormalization of a complete set of gauge-invariant non-local gluon operators up to one-loop in lattice perturbation theory. Our computations have been performed in both dimensional and lattice…

High Energy Physics - Lattice · Physics 2023-11-30 Demetrianos Gavriel , Haralambos Panagopoulos , Gregoris Spanoudes

The outline of lattice simulations of $(2+1)D$ soliton-propagations in the background of Weyl spinors is presented. Clifford algebra is applied on Luescher's domain decomposition method. The Clifford algebra shows that there are loop parts…

High Energy Physics - Lattice · Physics 2021-07-21 Sadataka Furui

We consider spectral quantities in lattice QCD and determine the asymptotic behavior of their discretization errors. Wilson fermion with O$(a)$-improvement, (M\"obius) Domain wall fermion (DWF), and overlap Dirac operators are considered in…

High Energy Physics - Lattice · Physics 2024-10-18 Nikolai Husung , Peter Marquard , Rainer Sommer

We present results for the non-perturbative determination of the improvement and renormalization factors of the isovector axial current for lattice QCD with two flavors of dynamical Wilson quarks. The improvement and normalization…

High Energy Physics - Lattice · Physics 2007-05-23 Roland Hoffmann , Michele Della Morte , Francesco Knechtli , Rainer Sommer , Ulli Wolff

The contributions of the improved fermion action of Sheikholeslami and Wohlert to the two loop coefficient of the expansion of the Schroedinger functional coupling in terms of the lattice coupling are calculated for the gauge group SU(3).…

High Energy Physics - Lattice · Physics 2015-06-25 A. Bode , P. Weisz , U. Wolff

We present a quenched lattice QCD calculation of the first few moments of the polarized and un-polarized structure functions of the nucleon. Our calculations are done using domain wall fermions and the DBW2 gauge action with inverse lattice…

High Energy Physics - Lattice · Physics 2011-08-11 Kostas Orginos , Thomas Blum , Shigemi Ohta

Efficient computation of lattice defect geometries such as point defects, dislocations, disconnections, grain boundaries, interfaces and free surfaces requires accurate coupling of displacements near the defect to the long-range elastic…

Materials Science · Physics 2013-08-06 Joseph A. Yasi , Dallas R. Trinkle

Lattice calculations could boost our understanding of Deep Inelastic Scattering by evaluating moments of the Nucleon Structure Functions. To this end we study the product of electromagnetic currents between quark states. The Operator…

High Energy Physics - Lattice · Physics 2008-09-05 W. Bietenholz , N. Cundy , M. Gockeler , R. Horsley , H. Perlt , D. Pleiter , P. E. L. Rakow , G. Schierholz , A. Schiller , J. M. Zanotti