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We investigate the low-lying eigenvalues of the improved Wilson-Dirac operator in the Schroedinger functional with two dynamical quark flavors. At a lattice spacing of approximately 0.1 fm we find more very small eigenvalues than in the…

High Energy Physics - Lattice · Physics 2009-11-10 M. Della Morte , R. Hoffmann , F. Knechtli , U. Wolff

We discuss some large effects of dynamical fermions. One is a cutoff effect, others concern the contribution of multi-pion states to correlation functions and are expected to survive the continuum limit. We then turn to the preparation for…

High Energy Physics - Lattice · Physics 2010-12-13 M. Della Morte , P. Fritzsch , B. Leder , S. Takeda , O. Witzel , U. Wolff , H. Meyer , H. Simma , R. Sommer

We study cutoff effects at tree-level of perturbation theory for standard Wilson and Wilson twisted mass fermionic lattice actions with Nf=2 flavour degenerate quarks. The discretization effects are investigated by computing the mass…

High Energy Physics - Lattice · Physics 2009-04-14 K. Cichy , J. Gonzalez Lopez , K. Jansen , A. Kujawa , A. Shindler

In view of the recent excitement about a tension between determinations of f_Ds from experiment and from simulations of lattice QCD with dynamical quarks, we try to clear up the picture of lattice determinations in the continuum limit of…

High Energy Physics - Lattice · Physics 2011-04-04 Jochen Heitger , Andreas Juttner

We make several observations concerning the low quark mass region with Wilson fermions and how this is connected with the epsilon regime in the continuum. A transition from tiny cutoff effects to rather large discretization errors would…

High Energy Physics - Lattice · Physics 2009-02-27 Andrea Shindler

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…

High Energy Physics - Lattice · Physics 2012-11-09 K. Splittorff

We simulate two dimensional QED with two degenerate Wilson fermions and plaquette gauge action. As a consequence of the Mermin-Wagner theorem, in the continuum limit chiral symmetry is realized a la Wigner. This property affects also the…

High Energy Physics - Lattice · Physics 2009-11-11 Michele Della Morte , Magdalena Luz

We consider two-flavor QCD in the lattice regularization with improved Wilson fermions. In this formulation chiral symmetry is explicitly broken at order a and hence the isovector axial currents require improvement as well as a finite…

High Energy Physics - Lattice · Physics 2007-05-23 Roland Hoffmann

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

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…

High Energy Physics - Lattice · Physics 2015-06-03 T. Karavirta , K. Rummukainen , K. Tuominen

Recently, random matrix theory predictions for the distribution of low-lying Dirac operator eigenvalues have been extended to include lattice effects for both staggered and Wilson fermions. We computed low-lying eigenvalues for the…

High Energy Physics - Lattice · Physics 2011-12-09 Urs M. Heller

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…

High Energy Physics - Lattice · Physics 2009-03-04 Michele Della Morte , Rainer Sommer , Shinji Takeda

We investigate the algorithms for dynamical overlap fermions aiming at improving the performance for large-scale simulations. We look for the best combination of Hybrid Monte Carlo options and iterative quark solvers with respect to the…

I demonstrate that the chiral properties of Domain Wall Fermions (DWF) in the large to intermediate lattice spacing regime of QCD, 1 to 2 GeV, are significantly improved by adding to the action two standard Wilson fermions with…

High Energy Physics - Lattice · Physics 2008-11-26 Pavlos M. Vranas

We present a first numerical study of lattice QCD with O(a) improved Wilson quarks and a chirally twisted mass term. Renormalized correlation functions are derived from the Schroedinger functional and evaluated in an intermediate space-time…

High Energy Physics - Lattice · Physics 2010-02-03 M. Della Morte , R. Frezzotti , J. Heitger , S. Sint

We present a scaling study of lattice QCD with O(a) improved Wilson fermions and a chirally twisted mass term. In order to get precise results with a moderate computational effort, we have considered a system of physical size of 0.75^3 *…

High Energy Physics - Lattice · Physics 2009-10-31 M. Della Morte , R. Frezzotti , J. Heitger , S. Sint

We demonstrate the effectiveness of averaging over the Wilson parameter r (which has been proposed earlier) in removing the cutoff effects of naive Wilson fermions in both the anomaly term and the pseudoscalar density term in the flavor…

High Energy Physics - Lattice · Physics 2011-08-02 Asit K. De , A. Harindranath , Santanu Mondal

In this paper we investigate the cutoff effects at tree-level of perturbation theory for three different lattice regularizations of fermions -- maximally twisted mass Wilson, overlap and Creutz fermions. We show that all three kinds of…

High Energy Physics - Lattice · Physics 2008-12-23 Krzysztof Cichy , Jenifer Gonzalez Lopez , Agnieszka Kujawa

We discuss the lattice formulation of gauge theories with fermions in arbitrary representations of the color group, and present in detail the implementation of the HMC/RHMC algorithm for simulating dynamical fermions. We discuss the…

High Energy Physics - Lattice · Physics 2014-11-18 Luigi Del Debbio , Agostino Patella , Claudio Pica

We consider the two-dimensional N=(2,2) Wess-Zumino model with a cubic superpotential at weak and intermediate couplings. Refined algorithms allow for the extraction of reliable masses in a region where perturbation theory no longer…

High Energy Physics - Lattice · Physics 2008-11-26 Tobias Kaestner , Georg Bergner , Sebastian Uhlmann , Andreas Wipf , Christian Wozar
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