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Related papers: Finite ma Errors of the Overlap Fermion

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The application of Random Matrix Theory to the Dirac operator of QCD yields predictions for the probability distributions of the lowest eigenvalues. We measured Dirac operator spectra using massless overlap fermions in quenched QCD at…

High Energy Physics - Lattice · Physics 2009-11-10 S. Shcheredin , W. Bietenholz , T. Chiarappa , K. Jansen , K. -I. Nagai

A simple matching procedure is proposed to extract constraints on effective meson theories. In this way, a QCD prediction for the pion decay constant is found, F(pi)=2 m(pi)/pi, i.e. approximately 90MeV. The same procedure also determines…

High Energy Physics - Phenomenology · Physics 2007-05-23 Christopher Smith

Effects associated with hyperfine mass splitting between pseudo\-scalar and vector mesons may induce surprisingly large $1/{m}_{Q}^{2}$ corrections in the heavy quark expansion. We demonstrate this in a relativistic quark model by…

High Energy Physics - Phenomenology · Physics 2009-10-22 B. Holdom , M. Sutherland

We improve a previous quenched result for heavy-light pseudoscalar meson decay constants with the light quark taken to be the strange quark. A finer lattice resolution (a ~ 0.05 fm) in the continuum limit extrapolation of the data computed…

High Energy Physics - Lattice · Physics 2008-11-26 Michele Della Morte , Stephan Durr , Damiano Guazzini , Jochen Heitger , Andreas Juttner , Rainer Sommer

Using the formalism of soft-collinear effective theory, a complete separation of short- and long-distance contributions to heavy-to-light transition form factors at large recoil is performed. The universal functions $\zeta_M(E)$…

High Energy Physics - Phenomenology · Physics 2010-04-05 Bjorn O. Lange , Matthias Neubert

Studies of non-interacting lattice fermions give an estimate of the size of discretization errors and finite size effects for more interesting problems like finite temperature QCD. We present a calculation of the thermodynamic equation of…

High Energy Physics - Lattice · Physics 2009-10-31 George T. Fleming

We present the first study of the charmonium spectrum using overlap fermions, on quenched configurations. Simulations are performed on $16^3 \times 72$ lattices, with Wilson gauge action at $\beta$ = 6.3345. We demonstrate that we have…

High Energy Physics - Lattice · Physics 2008-11-26 S. Tamhankar , A. Alexandru , Y. Chen , S. J. Dong , T. Draper , I. Horvath , F. X. Lee , K. F. Liu , N. Mathur , J. B. Zhang

We revisit the contributions of order $\alpha^2(Z\alpha)^5m$ and $\alpha^2(Z\alpha)E_F$, respectively, to the Lamb shift and to the hyperfine splitting from mixed self-energy-vacuum-polarization diagrams, involving fermionic loop. We use…

High Energy Physics - Phenomenology · Physics 2023-08-16 Petr A. Krachkov , Roman N. Lee

We present simulation results for the 2-flavour Schwinger model with dynamical overlap fermions. In particular we apply the overlap hypercube operator at seven light fermion masses. In each case we collect sizable statistics in the…

High Energy Physics - Lattice · Physics 2008-11-26 Wolfgang Bietenholz , Stanislav Shcheredin , Jan Volkholz

The numerical and computational aspects of the overlap formalism in lattice quantum chromodynamics are extremely demanding due to a matrix-vector product that involves the sign function of the hermitian Wilson matrix. In this paper we…

High Energy Physics - Lattice · Physics 2009-11-07 J. van den Eshof , A. Frommer , Th. Lippert , K. Schilling , H. A. van der Vorst

We compute decay constants of heavy-light mesons in quenched lattice QCD with a lattice spacing of a ~ 0.04 fm using non-perturbatively O(a) improved Wilson fermions and O(a) improved currents. We obtain f_{D_s} = 220(6)(5)(11) MeV, f_D =…

High Energy Physics - Lattice · Physics 2008-11-26 A. Ali Khan , V. Braun , T. Burch , M Göckeler , G. Lacagnina , A. Schäfer , G. Schierholz

We compare the efficiency of four different algorithms to compute the overlap Dirac operator, both for the speed, i.e., time required to reach a desired numerical accuracy, and for the adaptability, i.e., the scaling of speed with the…

High Energy Physics - Lattice · Physics 2009-11-07 Rajiv V. Gavai , Sourendu Gupta , Robert Lacaze

The form factors for the semileptonic decays of heavy-light pseudoscalar mesons of the type $D \to Ke\nu$ are studied in quenched lattice QCD at $\beta=6.0$ using Wilson fermions. We explore new numerical techniques for improving the signal…

High Energy Physics - Lattice · Physics 2007-05-23 Rajan Gupta , Tanmoy Bhattacharya , David Daniel

We present results from a measurement of double diffraction dissociation in $\bar pp$ collisions at the Fermilab Tevatron collider. The production cross section for events with a central pseudorapidity gap of width $\Delta\eta^0>3$…

High Energy Physics - Experiment · Physics 2010-05-28 T. Affolder

In order to enhance our understanding of spectral functions in lattice QCD obtained with the help of the Maximum Entropy Method, we study meson spectral functions for lattice fermions with chiral symmetry. In particular we analyse lattice…

High Energy Physics - Lattice · Physics 2010-10-27 Gert Aarts , Justin Foley

We explain why naive discretization results that have appeared in [hep-lat/0006013] do not appear to yield the desired continuum limit. The fermion propagator on the lattice inevitably yields a diagram with nonvanishing UV degree D=0…

High Energy Physics - Lattice · Physics 2008-11-26 Joel Giedt , Roman Koniuk , Erich Poppitz , Tzahi Yavin

The aim of this paper is to investigate the large deviations for a class of slow-fast mean-field diffusions, which extends some existing results to the case where the laws of fast process are also involved in the slow component. Due to the…

Probability · Mathematics 2026-04-28 Wei Hong , Wei Liu , Shiyuan Yang

We compute fermionic observables relevant to the study of chiral symmetry in quenched QCD using the Overlap-Dirac operator for a wide range of the fermion mass. We use analytical results to disentangle the contribution from exact zero modes…

High Energy Physics - Lattice · Physics 2009-10-31 Robert G. Edwards , Urs M. Heller , Rajamani Narayanan

We consider models of Bayesian inference of signals with vectorial components of finite dimensionality. We show that, under a proper perturbation, these models are replica symmetric in the sense that the overlap matrix concentrates. The…

Information Theory · Computer Science 2020-01-27 Jean Barbier

We compute the decay constants for the heavy--light pseudoscalar mesons in the quenched approximation and continuum limit of lattice QCD. Within the Schrodinger Functional framework, we make use of the step scaling method, which has been…

High Energy Physics - Lattice · Physics 2015-06-25 G. M. de Divitiis , M. Guagnelli , F. Palombi , R. Petronzio , N. Tantalo