Extreme matter in electromagnetic fields and rotation

Abstract

We look over recent developments on our understanding about relativistic matter under external electromagnetic fields and mechanical rotation. I review various calculational approaches for concrete physics problems, putting my special emphasis on generality of the method and the consequence, rather than going into phenomenological applications in a specific field of physics. The topics covered in this article include static problems with magnetic fields, dynamical problems with electromagnetic fields, and phenomena induced by rotation.

Comments: 48 pages; major improvements for readability, more explanations, expanded introduction and summary with typos fixed