B7: Machine Learning Approximated Nucleon Matrix Elements with Domain Wall Fermions

28 Jul 2021, 08:00
1h
Poster Algorithms (including Machine Learning, Quantum Computing, Tensor Networks) Poster

Speaker

Akio Tomiya (RIKEN BNL Research Center)

Description

Nucleon matrix elements are some of the most expensive quantities to calculate within the framework of lattice QCD simulations, as they involve the computation of nucleon three-point correlation functions. Nucleon three-point correlation functions need additional quark propagators compared to two-point correlation functions, and suffer from exponentially worsening signal-to-noise ratios as quark masses approach the physical limit. Here we discuss the machine learning assisted calculation of nucleon matrix elements following a method by B. Yoon et al., which approximates nucleon three-point correlation functions using nucleon two-point correlation functions as input. We will show results for the machine-learning approximated nucleon three-point correlation functions with 2+1 flavor domain wall fermions, and discuss potential improvements to the machine learning architecture. Furthermore, we will discuss a detailed error analysis to fully represent different sources of uncertainties introduced in the machine learning method.

Primary authors

Akio Tomiya (RIKEN BNL Research Center) Mr Joseph Carolan (Stony Brook University) Mr Connelly Andrew (Stony Brook University) Taku Izubuchi (Brookhaven National Laboratory) Luchang Jin Chulwoo Jung (Brookhaven National Laboratory) Christopher Kelly (Columbia University) Meifeng Lin (Brookhaven National Laboratory (US)) Sergey Syritsyn (Stony Brook University)

Presentation materials