Overview of external electromagnetism and rotation in lattice QCD
Arata Yamamoto

TL;DR
This paper reviews the progress and challenges in lattice QCD simulations involving external electromagnetic fields and rotation, highlighting recent achievements in magnetic fields and emerging studies in electric fields and rotating matter.
Contribution
It provides a comprehensive overview of the current state, successes, and technical difficulties in simulating QCD under external electromagnetic fields and rotation.
Findings
Successful large-scale simulations of QCD in magnetic fields
Challenges in simulating electric fields due to technical difficulties
Emerging research on rotating QCD matter
Abstract
This is an introductory review of lattice QCD with external fields. The study of external magnetic fields is one of the greatest achievements in modern lattice QCD. Large-scale simulations and detailed analyses have revealed intriguing properties of QCD in the magnetic fields. The study of external electric fields is more challenging because of a technical difficulty. We overview the successes and challenges of the lattice simulations with the electromagnetic fields. We also introduce a newly developing field, the lattice simulation of rotating QCD matters.
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