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I apply a recently developed algorithm for reweighting simulations of lattice QCD from one quark mass to another to simulations performed with overlap fermions in the epsilon regime. I test it by computing the condensate from distributions…

高能物理 - 格点 · 物理学 2009-01-08 Thomas DeGrand

Monte Carlo simulations of quantum field theories on a lattice become increasingly expensive as the continuum limit is approached since the cost per independent sample grows with a high power of the inverse lattice spacing. Simulations on…

高能物理 - 格点 · 物理学 2021-01-04 Karl Jansen , Eike Hermann Müller , Robert Scheichl

Within ab initio Quantum Monte Carlo simulations, the leading numerical cost for large systems is the computation of the values of the Slater determinants in the trial wavefunction. Each Monte Carlo step requires finding the determinant of…

计算物理 · 物理学 2017-11-22 T. McDaniel , E. F. D'Azevedo , Y. W. Li , K. Wong , P. R. C. Kent

Reverse Monte Carlo (RMC) is an algorithm that incorporates stochastic modification of the action as part of the process that updates the fields in a Monte Carlo simulation. Such update moves have the potential of lowering or eliminating…

高能物理 - 格点 · 物理学 2015-06-22 Arjun Singh Gambhir , Kostas Orginos

A recently developed numerical method for the calculation of derivatives of functions of general complex matrices, which can also be combined with implicit matrix function approximations such as Krylov-Ritz type algorithms, is presented. An…

高能物理 - 格点 · 物理学 2016-11-02 M. Puhr , P. V. Buividovich

The calculation of force is most difficult part in lattice Quantum Chromodynamics (QCD). This lecture gives the details of the force calculation in one-loop Symanzik improved action, Wilson fermion with clover term, asqtad fermion, HISQ…

高能物理 - 格点 · 物理学 2021-12-14 Daming Li

The overlap operator in lattice QCD requires the computation of the sign function of a matrix, which is non-Hermitian in the presence of a quark chemical potential. In previous work we introduced an Arnoldi-based Krylov subspace…

高能物理 - 格点 · 物理学 2014-11-20 Jacques C. R. Bloch , Tobias Breu , Andreas Frommer , Simon Heybrock , Katrin Schäfer , Tilo Wettig

The use of APE smearing or other blocking techniques in lattice fermion actions can provide many advantages. There are many variants of these fat link actions in lattice QCD currently, such as FLIC fermions. The FLIC fermion formalism makes…

高能物理 - 格点 · 物理学 2010-03-04 Waseem Kamleh , Derek B. Leinweber , Anthony G. Williams

In Lattice QCD, a major challenge in simulating physical quarks is the computational complexity of these simulations. In this proceeding, we describe the optimisation of Clover fermion action for Blue gene-Q architecture and how different…

高能物理 - 格点 · 物理学 2014-09-01 Karthee Sivalingam , Peter Boyle

Quark propagators with arbitrary sources and sinks can be obtained more efficiently using a pseudofermion method with a mode-shifted action. Mode-shifting solves the problem of critical slowing down (for light quarks) induced by low…

高能物理 - 格点 · 物理学 2009-11-07 A. Duncan , E. Eichten

In lattice QCD computations a substantial amount of work is spent in solving linear systems arising in Wilson's discretization of the Dirac equations. We show first numerical results of the extension of the two-level DD-\alpha AMG method to…

高能物理 - 格点 · 物理学 2013-07-24 A. Frommer , K. Kahl , S. Krieg , B. Leder , M. Rottmann

Computational Fluid Dynamics (CFD) simulations are often constrained by the memory-bound nature of sparse matrix-vector operations, which eventually limits performance on modern high-performance computing (HPC) systems. This work introduces…

{\it Critical slowing down} associated with the iterative solvers close to the critical point often hinders large-scale numerical simulation of fracture using discrete lattice networks. This paper presents a block circlant preconditioner…

材料科学 · 物理学 2009-11-11 Phani Kumar V. V. Nukala , Srdjan Simunovic

The increase with time of computer resources devoted to simulations of full QCD is spectacular. Yet the reduction of systematic errors is comparatively slow. This is due to the algorithmic complexity of the problem. I review, in elementary…

高能物理 - 格点 · 物理学 2007-05-23 Philippe de Forcrand

We discuss recent algorithmic improvements in simulating finite temperature QCD on a lattice. In particular, the Rational Hybrid Monte Carlo(RHMC) algorithm is employed to generate lattice configurations for 2+1 flavor QCD. Unlike the…

高能物理 - 格点 · 物理学 2008-11-26 M. Cheng , M. A. Clark , C. Jung , R. D. Mawhinney

It has been a big challenge for lattice QCD to simulate dynamical quarks near the chiral limit. Theoretically, it is well-known that the naive chiral symmetry cannot be realized on the lattice (the Nielsen-Ninomiya theorem). Also…

高能物理 - 格点 · 物理学 2017-08-23 Hidenori Fukaya

The overlap Dirac operator at nonzero quark chemical potential involves the computation of the sign function of a non-Hermitian matrix. In this talk we present iterative Krylov subspace approximations, with deflation of critical…

高能物理 - 格点 · 物理学 2009-01-14 Jacques Bloch , Tobias Breu , Tilo Wettig

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

The extreme computational costs of calculating the sign of the Wilson matrix within the overlap operator have so far prevented four dimensional dynamical overlap simulations on realistic lattice sizes, because the computational power…

高能物理 - 格点 · 物理学 2008-12-18 N. Cundy , S. Krieg , G. Arnold , A. Frommer , Th. Lippert , K. Schilling

The overlap Dirac operator in lattice QCD requires the computation of the sign function of a matrix. While this matrix is usually Hermitian, it becomes non-Hermitian in the presence of a quark chemical potential. We show how the action of…

高能物理 - 格点 · 物理学 2016-02-09 J. Bloch , A. Frommer , B. Lang , T. Wettig