Tuning the Riemannian Manifold Hybrid Monte Carlo with Fermions
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73 NUCLEAR PHYSICS AND RADIATION PHYSICSโ
Engineering topics
Jung, Chulwoo
Publications and source records attributed to Jung, Chulwoo.
Isospin 0 and 2 two-pion scattering at physical pion mass using all-to-all propagators with periodic boundary conditions in lattice QCD
A study of two-pion scattering for the isospin channels, ๐ผ = 0 and ๐ผ = 2, using lattice QCD is presented. Mรถbius domain-wall fermions, on top of the Iwasaki-DSDR gauge action for gluons with periodic boundary conditions, are used for the lattice computations, which are carried out on two ensembles of gauge field configurations generated by the RBC and UKQCD Collaborations with physical masses, inverse lattice spacings of 1.023 and 1.378 GeV, and spatial extents of ๐ฟ = 4.63 and 4.58 fm, respectively. The all-to-all propagator method is employed to compute a matrix of correlation functions of two-pion operators. The generalized eigenvalue problem (GEVP) is solved for a matrix of correlation functions to extract phase shifts with multiple statesโtwo pions with a nonzero relative momentum, as well as two pions at rest. Our results for phase shifts for both the ๐ผ = 0 and ๐ผ = 2 channels are consistent with the Roy equation and chiral perturbation theory, though at this preliminary stage our errors for ๐ผ = 0 are large. An important outcome of this work is that we are successful in extracting two-pion excited states, which are useful for studying ๐พ โ ๐โข๐ decay, on physical-mass ensembles using the GEVP.
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDSโ
Lattice QCD and the Computational Frontier
The search for new physics requires a joint experimental and theoretical effort. Lattice QCD is already an essential tool for obtaining precise model-free theoretical predictions of the hadronic processes underlying many key experimental searches, such as those involving heavy flavor physics, the anomalous magnetic moment of the muon, nucleon-neutrino scattering, and rare, second-order electroweak processes. As experimental measurements become more precise over the next decade, lattice QCD will play an increasing role in providing the needed matching theoretical precision. Achieving the needed precision requires simulations with lattices with substantially increased resolution. As we push to finer lattice spacing we encounter an array of new challenges. They include algorithmic and software-engineering challenges, challenges in computer technology and design, and challenges in maintaining the necessary human resources. In this white paper we describe those challenges and discuss ways they are being dealt with. Overcoming them is key to supporting the community effort required to deliver the needed theoretical support for experiments in the coming decade.
Boyle, Peterโ
Solving DWF dirac equation using multi-splitting preconditioned conjugate gradient with tensor cores on NVIDIA GPUs
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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDSโ