Collaborative Research: Multigrid QCD at the Petascale

摘要日期：10/10/070749300brower0749202brannick0749317mccormick晶格上量子色动力学的数值解对于标准模型的高精度实验测试和对核物质的从头开始理解至关重要。这些计算的核心涉及到狄拉克矩阵的反求，随着晶格的细化，狄拉克矩阵变得越来越病态。因此，虽然超大规模的计算硬件已经暴露了这种新的物理特性，但它无法完全适应它。另一方面，如果晶格QCD算法被重新制定，以利用和揭示这种更精细的微销售的物理，千兆级硬件确实有潜力开启物理发现的新时代。该奖项汇集了应用数学和理论物理领域的领先专家的密切合作，通过应用新的多层次算法进行qcdsimulation来应对这一挑战。Petascale项目（MGQCD）中提出的多网格量子色动力学的中心任务是：开发新的和更健壮的多网格方法，使更复杂和更高保真度的物理点阵QCD计算成为可能；支持他们迁移到千兆级模拟；并通过强调多重网格方法的合作研究和教育活动，参与更广泛的科学界。国家科学基金提案摘要

Proposal Title: Collaborative Research: Multigrid QCD at the PetascaleInstitution: Trustees of Boston UniversityAbstract Date: 10/10/070749300Brower0749202Brannick0749317McCormickNumerical solutions to Quantum Chromodynamcs on a lattice are critical to highprecision experimental tests of the standard model and an ab-initio understanding ofnuclear matter. The core of these calculations involves inverting a Dirac matrix whichbecomes increasingly ill conditioned as the lattice is refined. Consequently whileTerascale computing hardware has exposed this new physics, it is incapable of fullyaccommodating it. On the other hand, if lattice QCD algorithms are reformulated toexploit and reveal the physics at this finer microsale, Petascale hardware does have thepotential for opening up a new era of physics discovery. This award brings together aclose collaboration of leading experts in applied mathematics and theoretical physics tomeet this challenge by the application of new multi-level algorithms for QCDsimulations. The central mission of the proposed Multigrid QuantumChromodynamics at the Petascale project (MGQCD) is: to develop new and significantlymore robust multigrid methods for enabling more complex and higher fidelity physics forlattice QCD calculations; to support their migration into Petascale simulations; and toengage the broader scientific community through collaborative research andeducational activities that highlight the multigrid methodology.NATIONAL SCIENCE FOUNDATIONProposal Abstract