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Related papers: Non-perturbative improvement of operators with Wil…

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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…

High Energy Physics - Lattice · Physics 2009-10-09 G. Martinelli , G. C. Rossi , C. T. Sachrajda , S. Sharpe , M. Talevi , M. Testa

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, leaving only errors of $O(a^2)$. The method exploits the…

High Energy Physics - Lattice · Physics 2009-10-09 G. Martinelli , G. C. Rossi , C. T. Sachrajda , S. Sharpe , M. Talevi , M. Testa

The improvement of fermionic operators for Ginsparg-Wilson fermions is investigated. We present explicit formulae for improved Green's functions, which apply both on-shell and off-shell.

High Energy Physics - Lattice · Physics 2008-11-26 S. Capitani , M. Goeckeler , R. Horsley , P. E. L. Rakow , G. Schierholz

I report on cost estimates and algorithmic performance in simulations using 2 flavours of non-perturbatively O(a) improved Wilson quarks together with the Wilson plaquette action.

High Energy Physics - Lattice · Physics 2009-11-07 H. Wittig

We discuss the improvement of bilinear fermionic operators for Ginsparg-Wilson fermions. We present explicit formulae for improved Green's functions, which apply both on-shell and off-shell.

High Energy Physics - Lattice · Physics 2015-06-25 S. Capitani , M. Goeckeler , R. Horsley , P. E. L. Rakow , G. Schierholz

Nucleon structure functions can be observed in Deep Inelastic Scattering experiments, but it is an outstanding challenge to confront them with fully non-perturbative QCD results. For this purpose we investigate the product of…

High Energy Physics - Lattice · Physics 2010-11-05 W. Bietenholz , N. Cundy , M. Goeckeler , R. Horsley , H. Perlt , D. Pleiter , P. E. L. Rakow , G. Schierholz , A. Schiller , T. Streuer , J. M. Zanotti

We have reported elsewhere in this conference on our continuing project to determine non-perturbative Wilson coefficients on the lattice, as a step towards a completely non-perturbative determination of the nucleon structure. In this talk…

High Energy Physics - Lattice · Physics 2019-08-13 W. Bietenholz , N. Cundy , M. Göckeler , R. Horsley , H. Perlt , D. Pleiter , P. E. L. Rakow , G. Schierholz , A. Schiller , T. Streuer , J. M. Zanotti

We present first results for Wilson coefficients of operators up to first order in the covariant derivatives for the case of Wilson fermions. They are derived from the off-shell Compton scattering amplitude $\mathcal{W}_{\mu\nu}(a,p,q)$ of…

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

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

We present preliminary results for the topological charge and susceptibility determined from the low-lying eigenmodes of the Wilson-Dirac operator. These modes have been computed on dynamical configurations with Nf=2 non-perturbatively…

High Energy Physics - Lattice · Physics 2015-06-25 R. Horsley , T. G. Kovacs , V. Linke , D. Pleiter , G. Schierholz

We compute the improvement coefficient $c_{sw}$ that multiplies the Sheikholeslami-Wohlert term as a function of the bare gauge coupling for two flavour QCD. We discuss several aspects concerning simulations with improved dynamical Wilson…

High Energy Physics - Lattice · Physics 2009-10-30 Karl Jansen , Rainer Sommer

We describe the extension of the improvement program for bilinear operators composed of Wilson fermions to non-degenerate dynamical quarks. We consider two, three and four flavors, and both flavor non-singlet and singlet operators. We find…

High Energy Physics - Lattice · Physics 2009-11-11 Tanmoy Bhattacharya , Rajan Gupta , Weonjong Lee , Stephen R. Sharpe , Jackson M. S. Wu

We investigate the nonperturbative renormalization of composite operators in lattice QCD restricting ourselves to operators that are bilinear in the quark fields. These include operators which are relevant to the calculation of moments of…

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

Many observables of interest in lattice QCD are extracted from correlation functions involving the vector current. If Wilson fermions are used, it is therefore of practical importance that, besides the action, the current be O($a$) improved…

High Energy Physics - Lattice · Physics 2015-12-16 Tim Harris , Harvey B. Meyer

We discuss how the peculiar properties of maximally twisted Wilson fermions can be exploited to set up a consistent LQCD computational scheme in which the CP-conserving matrix elements of the $\Delta S =1,2$ effective weak Hamiltonian can…

High Energy Physics - Lattice · Physics 2016-09-01 Roberto Frezzotti , Giancarlo Rossi

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…

High Energy Physics - Lattice · Physics 2011-02-16 Ting-Wai Chiu

We investigate the nonperturbative renormalisation of composite operators in lattice QCD restricting ourselves to operators that are bilinear in the quark fields. These include operators which are relevant to the calculation of moments of…

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

A general method of constructing the Dirac operator for a randomly triangulated manifold is proposed. The fermion field and the spin connection live, respectively, on the nodes and on the links of the corresponding dual graph. The…

High Energy Physics - Lattice · Physics 2016-08-25 Z. Burda , J. Jurkiewicz , A. Krzywicki

We show that it is possible to construct a lattice Schroedinger functional for standard Wilson fermions, where the expectation values of ${\cal R}_5$-even operators are O($a$) improved, up to terms coming from the boundaries.

High Energy Physics - Lattice · Physics 2007-05-23 Roberto Frezzotti , Giancarlo Rossi

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…

High Energy Physics - Lattice · Physics 2008-11-26 T. Bakeyev , M. Gockeler , R. Horsley , D. Pleiter , P. E. L. Rakow , A. Schafer , G. Schierholz , H. Stuben
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