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We compare different conjugate gradient -- like matrix inversion methods (CG, BiCGstab1 and BiCGstab2) employing for this purpose the compact lattice quantum electrodynamics (QED) with Wilson fermions. The main goals of this investigation…

高能物理 - 格点 · 物理学 2015-06-25 G. Cella , A. Hoferichter , V. K. Mitrjushkin , M. Müller--Preussker , A. Vicere

This talk presents results of a comparitive study of iterative algorithms like minimal residue ($MR$) and conjugate gradient ($CG$, $BiCG\gamma_5$, and \bicgstab) used for inverting the Dirac matrix $M$. The tests were done on the…

高能物理 - 格点 · 物理学 2007-05-23 Rajan Gupta , Tanmoy Bhattacharya , Gregory Kilcup

Results on the computational efficiency of 2-flavor staggered Wilson fermions compared to usual Wilson fermions in a quenched lattice QCD simulation on $16^3\times32$ lattice at $\beta=6$ are reported. We compare the cost of inverting the…

高能物理 - 格点 · 物理学 2013-12-18 David H. Adams , Daniel Nogradi , Andrii Petrashyk , Christian Zielinski

We describe an algebraic algorithm which allows to express every one-loop lattice integral with gluon or Wilson-fermion propagators in terms of a small number of basic constants which can be computed with arbitrary high precision. Although…

高能物理 - 格点 · 物理学 2009-10-28 Giuseppe Burgio , Sergio Caracciolo , Andrea Pelissetto

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…

高能物理 - 格点 · 物理学 2015-06-25 A. Frommer , V. Hannemann , Th. Lippert , B. Noeckel , K. Schilling

Computing quark propagators in lattice QCD is equivalent to solving large, sparse linear systems with multiple right-hand sides. Block algorithms attempt to accelerate the convergence of iterative Krylov-subspace methods by solving the…

高能物理 - 格点 · 物理学 2009-10-30 Stephen M. Pickles , UKQCD Collaboration

We present a new exact algorithm for estimating all elements of the quark propagator. The advantage of the method is that the exact all-to-all propagator is reproduced in a large but finite number of inversions. The efficacy of the…

高能物理 - 格点 · 物理学 2007-05-23 Alan O Cais , K. Jimmy Juge , Mike J. Peardon , Sinead M. Ryan , Jon-Ivar Skullerud

We describe an algebraic algorithm which allows to express every one-loop lattice integral with gluon or Wilson-fermion propagators in terms of a small number of basic constants which can be computed with arbitrary high precision. Although…

高能物理 - 格点 · 物理学 2009-10-28 Giuseppe Burgio , Sergio Caracciolo , Andrea Pelissetto

We propose improved estimators to compute the reweighting factors which are needed for lattice QCD calculations that rely on twisted-mass reweighting for the light quark contribution and the Rational Hybrid Monte Carlo (RHMC) algorithm for…

高能物理 - 格点 · 物理学 2024-03-19 Simon Kuberski

We calculate the PCAC mass for $(2+1)$ flavor full QCD with Wilson-type quarks. We adopt the Small Flow-time eXpansion (SFtX) method based on the gradient flow which provides us a general way to compute correctly renormalized observables…

We present preliminary results from UKQCD simulations at light quark masses using two flavours of non-pertubatively improved Wilson fermions. We report on the performance of the standard HMC algorithm at these quark masses where m_pi/m_rho…

高能物理 - 格点 · 物理学 2015-06-25 A. C. Irving , UKQCD Collaboration

We compute the Landau gauge quark propagator from lattice QCD with two flavors of dynamical O(a)-improved Wilson fermions. The calculation is carried out with lattice spacings ranging from 0.06 fm to 0.08 fm, with quark masses corresponding…

高能物理 - 格点 · 物理学 2019-06-05 Orlando Oliveira , Paulo J. Silva , Jon-Ivar Skullerud , Andre Sternbeck

We test an algebraic algorithm based on the coordinate-space method, evaluating with high accuracy the critical mass for Wilson fermions in lattice QCD at two loops. We test the results by using different types of infrared regularization.

高能物理 - 格点 · 物理学 2007-05-23 Sergio Caracciolo , Andrea Pelissetto , Antonio Rago

We present a comparison of a number of iterative solvers of linear systems of equations for obtaining the fermion propagator in lattice QCD. In particular, we consider chirally invariant overlap and chirally improved Wilson (maximally)…

高能物理 - 格点 · 物理学 2015-10-27 T. Chiarappa , K. Jansen , K. -I. Nagai , M. Papinutto , L. Scorzato , A. Shindler , C. Urbach , U. Wenger , I. Wetzorke

We present the results of a precision computation of B_K with Wilson fermions. Simulations are performed at different lattice spacings, enabling continuum limit extrapolations. Two different twisted mass QCD (tmQCD) regularisations are…

高能物理 - 格点 · 物理学 2007-05-23 P. Dimopoulos , J. Heitger , C. Pena , S. Sint , A. Vladikas

We present results of a lattice simulation of quantum chromodynamics with two degenerate flavors of dynamic Wilson fermions at $6/g^2=5.3$ at each of two dynamical fermion hopping parameters, $\kappa=0.1670$ and 0.1675, corresponding to…

高能物理 - 格点 · 物理学 2009-10-22 K. M. Bitar

The quaternion biconjugate gradient (QBiCG) method, as a novel variant of quaternion Lanczos-type methods for solving the non-Hermitian quaternion linear systems, does not yield a minimization property. This means that the method possesses…

数值分析 · 数学 2024-02-07 Tao Li , Qing-Wen Wang , Xin-Fang Zhang

Due to improvements in computer performance and algorithms, the rapidly increasing cost for unquenched Wilson-type fermions with lighter quarks has been ameliorated and new simulations are now possible. Here we present results using two…

We report on the status of an update of our collaboration's previous computation of light and strange quark masses in QCD with $N_{f}=2+1$ dynamical flavours. Bare quark masses are extracted from CLS ensembles, using $O(a)$-improved Wilson…

高能物理 - 格点 · 物理学 2026-03-30 Gregorio Herdoíza , Fernando P. Panadero , Carlos Pena , Alejandro Sáez

We simulate quenched QCD with the overlap Dirac operator. We work with the Wilson gauge action at beta=6 on an 18^3x64 lattice. We calculate quark propagators for a single source point and quark mass ranging from am_q=0.03 to 0.75. We…

高能物理 - 格点 · 物理学 2009-11-10 Federico Berruto , Nicolas Garron , Christian Hoelbling , Laurent Lellouch , Claudio Rebbi , Noam Shoresh
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