Deep learning study on the Dirac eigenvalue spectrum of staggered quarks

27 Jul 2021, 22:45
15m
Oral presentation Vacuum Structure, Confinement, and Chiral Symmetry Vacuum Structure, Confinement, and Chiral Symmetry

Speaker

Sunkyu Lee (Seoul National University)

Description

We study chirality of staggered quarks on the Dirac eigenvalue spectrum using deep learning techniques. The theory expects a characteristic pattern (we call it "leakage pattern") in the matrix elements of the chirality operator sandwiched between two eigenstates of staggered Dirac operator. Deep learning analysis gives 99.4(24)% accuracy per a single normal gauge configuration and 0.998 AUC (Area Under ROC Curve) for classifying non-zero eigenmode quartets in the Dirac eigenvalue spectrum. It confirms that the leakage pattern is universal on normal gauge configurations. We choose the multi-layer perceptron (MLP) method which is one of the deep learning models. It happens to give the best performance in our study. Numerical study is done using HYP staggered quarks on the 20^4 lattice in quenched QCD.

Primary authors

Hwancheol Jeong (Seoul National University) Chulwoo Jung (Brookhaven National Laboratory) Seungyeob Jwa (Seoul National University) Jangho Kim (Goethe University Frankfurt am Main) Mr Jeehun Kim (Department of Physics and Astronomy, Seoul National University) Prof. Nam Soo Kim (Department of Electrical and Computer Engineering and the Institute of New Media and Communications, Seoul National University) Sunghee Kim (Seoul National University) Sunkyu Lee (Seoul National University) Weonjong Lee (Seoul National University) Prof. Youngjo Lee (Department of Statistics, Seoul National University) JEONGHWAN PAK (Seoul National University)

Presentation materials