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By considering the local vector current between nucleon states and imposing charge conservation we determine, for $O(a)$ improved Wilson fermions, its renormalisation constant and quark mass improvement coefficient. The computation is…

高能物理 - 格点 · 物理学 2008-11-26 T. Bakeyev , M. Gockeler , R. Horsley , D. Pleiter , P. E. L. Rakow , A. Schafer , G. Schierholz , H. Stuben

We compute non-perturbatively the renormalization constant of the flavour-singlet local vector current $Z_V$ in lattice QCD with 3 massless flavours. Gluons are discretized by the Wilson plaquette action while quarks by the O($a$)-improved…

高能物理 - 格点 · 物理学 2022-11-23 Matteo Bresciani , Mattia Dalla Brida , Leonardo Giusti , Michele Pepe , Federico Rapuano

Minimally doubled fermions have been proposed as a strictly local discretization of the QCD quark action, which also preserves chiral symmetry at finite cut-off. We study the renormalization and mixing properties of two particular…

高能物理 - 格点 · 物理学 2011-01-27 Stefano Capitani , Michael Creutz , Johannes Weber , Hartmut Wittig

In this work, we study the renormalization of nonlocal quark bilinear operators containing an asymmetric staple-shaped Wilson line at the one-loop level in both lattice and continuum perturbation theory. These operators enter the…

高能物理 - 格点 · 物理学 2024-06-10 Gregoris Spanoudes , Martha Constantinou , Haralambos Panagopoulos

We discuss the renormalization of different definitions of quark masses in the Wilson and the tree-level improved SW-Clover fermionic action. For the improved case we give the correct relationship between the quark mass and the hopping…

高能物理 - 格点 · 物理学 2009-10-31 V. Gimenez , L. Giusti , F. Rapuano , M. Talevi

We present an exploratory study of a gauge-invariant non-perturbative renormalization technique. The renormalization conditions are imposed on correlation functions of composite operators in coordinate space on the lattice. Numerical…

高能物理 - 格点 · 物理学 2009-11-10 V. Gimenez , L. Giusti , S. Guerriero , V. Lubicz , G. Martinelli , S. Petrarca , J. Reyes , B. Taglienti , E. Trevigne

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 compute the two-loop renormalization functions, in the RI $^\prime$ scheme, of local bilinear quark operators $\bar{\psi}\Gamma\psi$, where $\Gamma$ denotes the Scalar and Pseudoscalar Dirac matrices, in the lattice formulation of QCD.…

高能物理 - 格点 · 物理学 2014-11-18 A. Skouroupathis , H. Panagopoulos

We non-perturbatively calculate the scale dependence of the static axial current in the Schroedinger functional scheme by means of a recursive finite-size scaling technique, taking the continuum limit in each step. The bare current in the…

高能物理 - 格点 · 物理学 2008-11-26 Jochen Heitger , Martin Kurth , Rainer Sommer

Using the non-perturbative renormalization technique, we calculate the renormalization factors for quark bilinear operators made of overlap fermions on the lattice. The background gauge field is generated by the JLQCD and TWQCD…

高能物理 - 格点 · 物理学 2010-04-06 J. Noaki , T. W. Chiu , H. Fukaya , S. Hashimoto , H. Matsufuru , T. Onogi , E. Shintani , N. Yamada

Renormalization constants of vector ($Z_V$) and axial-vector ($Z_A$) currents are determined non-perturbatively in quenched QCD for a renormalization group improved gauge action and a tadpole improved clover quark action using the…

We discuss how lattice calculations can be a useful tool for the study of structure functions. Particular emphasis is given to the perturbative renormalization of the operators.

高能物理 - 唯象学 · 物理学 2009-11-07 Stefano Capitani

Hadronic matrix elements involving tensor currents play an important r\^ole in decays that allow to probe the consistency of the Standard Model via precision lattice QCD calculations. The non-singlet tensor current is a scale-dependent…

高能物理 - 格点 · 物理学 2023-09-11 L. Chimirri , P. Fritzsch , J. Heitger , F. Joswig , M. Panero , C. Pena , D. Preti

We discuss a non-perturbative renormalization of n-point Polyakov loop correlation functions by explicitly introducing a renormalization constant for the Polyakov loop operator on a lattice deduced from the short distance properties of…

高能物理 - 格点 · 物理学 2017-08-23 F. Zantow

We calculate the 3-loop perturbative expansion of the average plaquette in lattice QCD with N_f massive Wilson fermions and gauge group SU(N). The corrections to asymptotic scaling in the corresponding energy scheme are also evaluated. We…

高能物理 - 格点 · 物理学 2009-10-31 B. Alles , A. Feo , H. Panagopoulos

We calculate the two loop Landau mean links and the one loop renormalisation of the anisotropy for Wilson and improved SU(3) gauge actions, using twisted boundary conditions as a gauge invariant infrared regulator. We show these accurately…

高能物理 - 格点 · 物理学 2009-11-07 I. T. Drummond , A. Hart , R. R. Horgan , L. C. Storoni

The critical quark mass, at which the renormalised mass vanishes, is computed in the Schrodinger functional scheme with a non vanishing background field at one-loop order of perturbation theory. Further one-loop calculations are done for…

高能物理 - 格点 · 物理学 2007-05-23 Stefan Kurth

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…

高能物理 - 格点 · 物理学 2016-12-28 S. Aoki , Y. Kuramashi , T. Onogi , N. Tsutsui

We compute non-perturbatively the renormalization coefficients of scalar and pseudoscalar operators, local vector and axial currents, conserved vector and axial currents, and $O^{\Delta S=2}_{LL}$ over a wide range of energy scales using a…

高能物理 - 格点 · 物理学 2009-10-31 Yuriy Zhestkov

We determine non-perturbatively the anomalous dimensions of the second moment of non-singlet parton densities from a continuum extrapolation of results computed in quenched lattice simulations at different lattice spacings. We use a…

高能物理 - 格点 · 物理学 2009-10-31 M. Guagnelli , K. Jansen , R. Petronzio