Collaborative Research: Multigrid QCD at the Petascale

提案标题：合作研究：在Petascale研究所的多重网格QCD：波士顿大学的受托人摘要日期：10/10/070749300 Brower 0749202 Brannick 0749317 McCormick格子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算理解是至关重要的。这些计算的核心涉及逆狄拉克矩阵，随着晶格的细化，狄拉克矩阵变得越来越病态。因此，虽然太尺度计算硬件揭示了这一新物理，但它无法完全容纳它。另一方面，如果晶格QCD算法被重新制定，以利用和揭示这一更精细的微观物理，那么太尺度硬件确实有潜力开辟物理发现的新时代。该奖项汇集了应用数学和理论物理领域领先专家的紧密合作，通过应用新的多层次算法进行QCD模拟来迎接这一挑战。在Petascale项目中提出的多重网格量子色动力学（MGQCD）的中心使命是：开发新的和显著更强大的多重网格方法，使更复杂和更高保真的物理晶格QCD计算;支持他们迁移到Petascale模拟;并通过强调多重网格方法的合作研究和教育活动，吸引更广泛的科学界。

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