Jul 22 – 26, 2024
West University of Timisoara
Europe/Bucharest timezone

Dirac Eigenvalue Distributions and the Chiral Magnetic Effect

Jul 22, 2024, 6:20 PM
5m
Amphitheater A11 (West University of Timisoara)

Amphitheater A11

West University of Timisoara

Bulevardul Vasile Pârvan 4, Timișoara 300223, Romania https://www.uvt.ro/en/
Flash Talk (Plenary) + Poster Flash talk and posters

Speaker

Prof. Kenji Fukushima (The University of Tokyo)

Description

We investigated the Dirac eigenvalue distributions at finite chiral chemical potential and strong magnetic field. We found that the eigenvalue distributions exhibit what is called the skin effect in condensed matter physics which is typical behavior when a topological transport is expected.

We also analyzed different distribution patterns by multiplying some matrices to the Dirac operator. The eigenvalues are placed not randomly but along lines only when the operator product corresponds to the physical observable relevant to the topological transport.

We also discuss possible applications of topological data analysis (TDA) to judge whether the topological current emerges.

Primary authors

Presentation materials