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The architecture and capabilities of the computers currently in use for large-scale lattice QCD calculations are described and compared. Based on this present experience, possible future directions are discussed.

High Energy Physics - Lattice · Physics 2015-06-25 Norman H. Christ

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…

High Energy Physics - Lattice · Physics 2013-12-18 David H. Adams , Daniel Nogradi , Andrii Petrashyk , Christian Zielinski

We discuss the physics and computation of lattice QCD, a space-time lattice formulation of quantum chromodynamics, and Kenneth Wilson's seminal role in its development. We start with the fundamental issue of confinement of quarks in the…

High Energy Physics - Lattice · Physics 2015-06-23 Akira Ukawa

This paper presents approaches to develop efficient network for non-binary quasi-cyclic LDPC (QC-LDPC) decoders. By exploiting the intrinsic shifting and symmetry properties of the check matrices, significant reduction of memory size and…

Hardware Architecture · Computer Science 2011-11-04 Chuan Zhang , Keshab K. Parhi

Lattice QCD calculations require significant computational effort, with the dominant fraction of resources typically spent in the numerical inversion of the Dirac operator. One of the simplest methods to solve such large and sparse linear…

High Energy Physics - Lattice · Physics 2021-12-01 Salvatore Cali , William Detmold , Grzegorz Korcyl , Piotr Korcyl , Phiala Shanahan

Quantum key distribution (QKD) is a promising technique for secure communication based on quantum mechanical principles. To improve the secure key rate of a QKD system, most studies on reconciliation primarily focused on improving the…

Quantum Physics · Physics 2021-09-21 Hao-Kun Mao , Qiong Li , Peng-Lei Hao , Bassem Abd-El-Atty , Abdullah M. Iliyasu

The investigation of light sea-quark effects in lattice QCD with dynamical Wilson fermions requires both larger physical volumes and finer lattice resolutions than achieved previously. As high-end supercomputers like the 512-node APE Tower…

We describe an explicit construction of approximate Ginsparg-Wilson fermions for QCD. We use ingredients of perfect action origin, and further elements. The spectrum of the lattice Dirac operator reveals the quality of the approximation. We…

High Energy Physics - Lattice · Physics 2009-10-31 W. Bietenholz , N. Eicker , I. Hip , K. Schilling

Simulation of Lattice QCD is a challenging computational problem. Currently, technological trends in computation show multiple divergent models of computation. We are witnessing homogeneous multi-core architectures, the use of accelerator…

High Energy Physics - Lattice · Physics 2008-08-13 K. Ibrahim , J. Jaeger , Z. Liu , L. N. Pouchet , P. Lesnicki , L. Djoudi , D. Barthou , F. Bodin , C. Eisenbeis , G. Grosdidier , O. Pene , P. Roudeau

The gap between the cost of moving data and the cost of computing continues to grow, making it ever harder to design iterative solvers on extreme-scale architectures. This problem can be alleviated by alternative algorithms that reduce the…

The overlap Dirac operator, which satisfies the Ginsparg-Wilson relation, realizes exact chiral symmetry on the lattice without any unphysical doubler modes. To perform the path integrals, one should, however, note that the overlap fermion…

High Energy Physics - Lattice · Physics 2007-05-23 Hidenori Fukaya

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…

High Energy Physics - Lattice · Physics 2017-08-23 Hidenori Fukaya

We present an OpenCL-based Lattice QCD application using a heatbath algorithm for the pure gauge case and Wilson fermions in the twisted mass formulation. The implementation is platform independent and can be used on AMD or NVIDIA GPUs, as…

High Energy Physics - Lattice · Physics 2013-09-09 Matthias Bach , Volker Lindenstruth , Owe Philipsen , Christopher Pinke

Graphical Processing Units (GPUs) are more and more frequently used for lattice QCD calculations. Lattice studies often require computing the quark propagators for several masses. These systems can be solved using multi-shift inverters but…

High Energy Physics - Lattice · Physics 2015-05-27 A. Alexandru , C. Pelissier , B. Gamari , F. Lee

Using an ensemble of 535 gauge configurations (on the $24^4 \times 48 $ lattice with $ a \simeq 0.06 $~fm and $ M_{\pi} \simeq 260 $~MeV) which are generated by hybrid Monte Carlo (HMC) simulation of $N_f=2$ lattice QCD with the optimal…

High Energy Physics - Lattice · Physics 2019-08-06 Ting-Wai Chiu , Tung-Han Hsieh

The most computationally demanding part of Lattice QCD simulations is solving quark propagators. Quark propagators are typically obtained with a linear equation solver utilizing HPC machines. The CCS QCD Benchmark is a benchmark program…

High Energy Physics - Lattice · Physics 2017-01-01 Taisuke Boku , Ken-Ichi Ishikawa , Yoshinobu Kuramashi , Lawrence Meadows , Michael D`Mello , Maurice Troute , Ravi Vemuri

Over the past five years, graphics processing units (GPUs) have had a transformational effect on numerical lattice quantum chromodynamics (LQCD) calculations in nuclear and particle physics. While GPUs have been applied with great success…

High Energy Physics - Lattice · Physics 2016-11-15 R. Babich , M. A. Clark , B. Joó , G. Shi , R. C. Brower , S. Gottlieb

Lattice Gauge Theory is an integral part of particle physics that requires high performance computing in the multi-Tflops regime. These requirements are motivated by the rich research program and the physics milestones to be reached by the…

Computational Physics · Physics 2007-05-23 A. Gellrich , D. Pop , P. Wegner , H. Wittig , M. Hasenbusch , K. Jansen

First results of a recently started simulation of full QCD with two flavours of sea-quarks at a coupling of $\beta = 5.6$ on a $16^3 \times 32$ lattice are presented. Emphasis is laid on the statistical significance that can be achieved by…

High Energy Physics - Lattice · Physics 2019-08-17 SESAM-Collaboration , : , U. Glässner , S. Güsken , H. Hoeber , Th. Lippert , X. Luo , G. Ritzenhöfer , K. Schilling , G. Siegert

Lattice QCD should allow a derivation of the $\Delta I=1/2$ rule from first principles, but numerical calculations to date have been plagued by a variety of problems. After a brief review of these problems, we present several new methods…

High Energy Physics - Lattice · Physics 2009-10-09 C. Dawson , G. Martinelli , G. C. Rossi , C. T. Sachrajda , S. Sharpe , M. Talevi , M. Testa