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The feasibility of using lattice chiral fermions which are free of $O(a)$ errors for both the heavy and light quarks is examined. The fact that the effective quark propagators in these fermions have the same form as that in the continuum…

High Energy Physics - Lattice · Physics 2009-11-07 K. F. Liu , S. J. Dong

I describe an implementation of the overlap action, which is built from an action which is itself an approximate overlap action. It appears to be about a factor of 15-20 less expensive to use, than the usual overlap action with the Wilson…

High Energy Physics - Lattice · Physics 2008-11-26 Thomas DeGrand

The stabilized biconjugate gradient algorithm BiCGStab recently presented by van der Vorst is applied to the inversion of the lattice fermion operator in the Wilson formulation of lattice Quantum Chromodynamics. Its computational efficiency…

High Energy Physics - Lattice · Physics 2015-06-25 A. Frommer , V. Hannemann , Th. Lippert , B. Noeckel , K. Schilling

The CKM unitarity precision test of the Standard Model requires a systematic treatment of electromagnetic and strong corrections for semi-leptonic decays. Electromagnetic corrections require the renormalization of a semileptonic…

High Energy Physics - Phenomenology · Physics 2026-04-30 M. Gorbahn , S. Jäger , F. Moretti , E. van der Merwe

Lattice rules and polynomial lattice rules are quadrature rules for approximating integrals over the $s$-dimensional unit cube. Since no explicit constructions of such quadrature methods are known for dimensions $s > 2$, one usually has to…

Numerical Analysis · Mathematics 2014-04-23 Josef Dick , Peter Kritzer , Gunther Leobacher , Friedrich Pillichshammer

We discuss the critical behaviour of strongly interacting matter close to the QCD phase transition. Emphasis is put on a presentation of results from lattice calculations that illustrate deconfining as well as chiral symmetry restoring…

High Energy Physics - Lattice · Physics 2009-09-25 Frithjof Karsch

The reweighting method developed in Glasgow to circumvent the lattice action becoming complex at finite density suffers from a pathological onset transition thought to be due to the reweighting. We present a new reweighting scheme based on…

High Energy Physics - Lattice · Physics 2008-11-26 P. R. Crompton

We present the first numerical implementation of a non-perturbative renormalization method for lattice operators, based on the study of correlation functions in coordinate space at short Euclidean distance. The method is applied to compute…

High Energy Physics - Lattice · Physics 2009-11-10 V. Gimenez , L. Giusti , S. Guerriero , V. Lubicz , G. Martinelli , S. Petrarca , J. Reyes , B. Taglienti , E. Trevigne

We describe a conceptually simple, but important test for the overlap approach to the construction of lattice chiral gauge theories. We explain the equivalence of the overlap formula with a certain waveguide model for a simple set of gauge…

High Energy Physics - Lattice · Physics 2009-10-28 Maarten Golterman , Yigal Shamir

We test exact and approximate Ginsparg-Wilson fermions with respect to their chiral and scaling behavior in the 2-flavor Schwinger model. We first consider explicit approximate GW fermions in a short range, then we proceed to their chiral…

High Energy Physics - Lattice · Physics 2015-06-25 W. Bietenholz , I. Hip

Recently, Grabowska and Kaplan proposed a four-dimensional lattice formulation of chiral gauge theories on the basis of a chiral overlap operator. We compute the classical continuum limit of the fermion number anomaly in this formulation.…

High Energy Physics - Lattice · Physics 2019-12-06 Hiroki Makino , Okuto Morikawa

We calculate one-loop renormalization factors for heavy-light bilinears as well as four-fermion operators relevant for $B^{0} - \bar{B}^{0}$ mixing calculations on the lattice. We use the static approximation for heavy quarks and the…

High Energy Physics - Lattice · Physics 2008-11-26 Oleg Loktik , Taku Izubuchi

The QCD light quark mass renormalized at a 1 GeV scale in the $ \overline{MS} $ scheme is obtained from the numerical results of the lattice QCD simulation with staggered fermions. The primary emphasis is given to the connection between the…

High Energy Physics - Lattice · Physics 2009-10-22 Weonjong Lee

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

The HPQCD collaboration has a program for determining the fundamental constants of the Standard Model Lagrangian from lattice QCD. The most accurate method of doing this uses the n_f=2+1 improved staggered MILC ensembles with chiral fitting…

High Energy Physics - Lattice · Physics 2007-05-23 Quentin Mason , Howard Trottier , Ron Horgan

Despite much research, hard weighted problems still resist super-polynomial improvements over their textbook solution. On the other hand, the unweighted versions of these problems have recently witnessed the sought-after speedups.…

Data Structures and Algorithms · Computer Science 2026-02-13 Mihail Stoian

The Overlap operator fulfills the Ginsparg-Wilson relation exactly and therefore represents an optimal discretization of the QCD Dirac operator with respect to chiral symmetry. When computing propagators or in HMC simulations, where one has…

High Energy Physics - Lattice · Physics 2011-12-16 Andreas Frommer , Karsten Kahl , Thomas Lippert , H. Rittich

We propose a lattice formulation of the chiral fermion which maximally respects the gauge symmetry and simultaneously is free of the unwanted species doublers. The formulation is based on the lattice fermion propagator and composite…

High Energy Physics - Theory · Physics 2009-10-30 Hiroshi Suzuki

We perform lattice simulations of two-flavor QCD using Neuberger's overlap fermion, with which the exact chiral symmetry is realized at finite lattice spacings. The epsilon-regime is reached by decreasing the light quark mass down to 3 MeV…

High Energy Physics - Lattice · Physics 2008-11-26 JLQCD collaboration , H. Fukaya , S. Aoki , T. W. Chiu , S. Hashimoto , T. Kaneko , H. Matsufuru , J. Noaki , K. Ogawa , M. Okamoto , T. Onogi , N. Yamada

We compute non-perturbatively the renormalization constants of composite operators for overlap fermions by using the regularization independent scheme. The scaling behavior of the renormalization constants is investigated using the data…

High Energy Physics - Lattice · Physics 2007-05-23 J. B. Zhang , D. B. Leinweber , A. G. Williams
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