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The combination of a non-overlapping Schwarz preconditioner and the Hybrid Monte Carlo (HMC) algorithm is shown to yield an efficient simulation algorithm for two-flavour lattice QCD with Wilson quarks. Extensive tests are performed, on…

高能物理 - 格点 · 物理学 2008-11-26 Martin Lüscher

We study a variant of the Schwarz-preconditioned HMC algorithm. In contrast to the original proposal of L\"uscher, we apply the domain decomposition in one lattice direction only. This is sufficient to reduce the condition number of the…

高能物理 - 格点 · 物理学 2008-11-26 Martin Hasenbusch

In this second report on our recent numerical simulations of two-flavour QCD, we provide further technical details on the simulations and describe the methods we used to extract the meson masses and decay constants from the generated…

高能物理 - 格点 · 物理学 2010-10-27 L. Del Debbio , L. Giusti , M. Lüscher , R. Petronzio , N. Tantalo

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 present a detailed design of a (P)HMC simulation algorithm for N_f = 2 + 1 + 1 maximally twisted Wilson quark flavours. The algorithm retains even/odd and mass-shift preconditionings combined with multiple Molecular Dynamics time scales…

高能物理 - 格点 · 物理学 2007-05-23 T. Chiarappa , R. Frezzotti , C. Urbach

We construct positive-definite pseudofermion actions for one fermion flavor in lattice field theory, for Wilson and domain-wall fermions respectively. The positive definiteness of these actions ensures that they can be simulated with the…

高能物理 - 格点 · 物理学 2019-08-13 Kenji Ogawa , Ting-Wai Chiu , Tung-Han Hsieh

I discuss the behaviour of algorithms for dynamical fermions as the sea-quark mass decreases. I focus on the Hybrid-Monte-Carlo (HMC) algorithm applied to two degenerate flavours of Wilson fermions. First, I briefly review the performance…

高能物理 - 格点 · 物理学 2009-11-10 Martin Hasenbusch

We give some new performance results for the Hybrid Monte Carlo (HMC) simulation of dynamical clover-improved Wilson fermions using an improved pseudo-fermion action. The generalisation of even-odd preconditioning for the standard Wilson…

高能物理 - 格点 · 物理学 2009-04-25 Martin Hasenbusch

We compare the Hybrid Monte Carlo (HMC) and the Kramers equation algorithms for simulations of QCD with two flavors of dynamical Wilson fermions and gauge group $SU(2)$. The results for the performance of both algorithms are obtained on…

高能物理 - 格点 · 物理学 2009-10-28 Karl Jansen , Chuan Liu

We present a variant of the HMC algorithm with mass preconditioning (Hasenbusch acceleration) and multiple time scale integration. We have tested this variant for standard Wilson fermions at beta=5.6 and at pion masses ranging from 380 MeV…

高能物理 - 格点 · 物理学 2008-11-26 C. Urbach , K. Jansen , A. Shindler , U. Wenger

We show that in practical simulations of lattice QCD with two dynamical light fermion species the PHMC algorithm samples configuration space differently from the commonly used HMC algorithm.

高能物理 - 格点 · 物理学 2009-10-31 R. Frezzotti , K. Jansen

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…

高能物理 - 格点 · 物理学 2014-11-18 Luigi Del Debbio , Agostino Patella , Claudio Pica

I review recent machine trends and algorithmic developments for dynamical lattice QCD simulations with the HMC algorithm for Wilson-type fermions. The topics include the trend toward multi-core processors and general purpose GPU (GPGPU)…

高能物理 - 格点 · 物理学 2010-01-21 Ken-Ichi Ishikawa

We study aspects concerning numerical simulations of Lattice QCD with two flavors of dynamical Ginsparg-Wilson quarks with degenerate masses. A Hybrid Monte Carlo algorithm is described and the formula for the fermionic force is derived for…

高能物理 - 格点 · 物理学 2009-10-31 Chuan Liu

Polynomial approximations to the inverse of the fermion matrix are used to filter the dynamics of the upper energy scales in HMC simulations. The use of a multiple time-scale integration scheme allows the filtered pseudofermions to be…

高能物理 - 格点 · 物理学 2015-05-28 Waseem Kamleh , Mike Peardon

We compare the performance of the PHMC algorithm with the one of the HMC algorithm in practical simulations of lattice QCD. We show that the PHMC algorithm can lead to an acceleration of numerical simulations. It is demonstrated that the…

高能物理 - 格点 · 物理学 2009-10-31 R. Frezzotti , K. Jansen

I report on first results of the ETMC obtained simulating lattice QCD with two degenerate flavours of Wilson twisted mass fermions, for which physical observables are automatically O(a) improved. Recent improvements of the HMC algorithm…

高能物理 - 唯象学 · 物理学 2007-05-23 Andrea Shindler , ETM Collaboration

We apply a recent proposal to speed up the Hybrid-Monte-Carlo simulation of systems with dynamical fermions to two flavor QCD with clover-improvement. For our smallest quark masses we see a speed-up of more than a factor of two compared…

高能物理 - 格点 · 物理学 2009-11-07 M. Hasenbusch , K. Jansen

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 apply a recent proposal to speed up the Hybrid-Monte-Carlo simulation of systems with dynamical fermions to two flavour QCD with clover-improvement. The basic idea of our proposal is to split the fermion matrix into two factors with a…

高能物理 - 格点 · 物理学 2009-11-07 M. Hasenbusch , K. Jansen
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