Boundary effects and gapped dispersion in rotating fermionic matter

TL;DR

This paper investigates how boundary effects influence fermionic matter in rotating systems, showing that at zero temperature the condensate remains unaffected by rotation, but finite temperature and magnetic fields can alter this behavior.

Contribution

It demonstrates the critical role of boundary conditions in rotating fermionic matter and clarifies the environmental factors affecting the interpretation of rotation as an effective chemical potential.

Findings

Boundary effects prevent condensate modification at zero temperature.

Finite temperature and magnetic fields can override boundary effects.

Rotation's impact depends on environmental conditions.

Abstract

We discuss the importance of boundary effects on fermionic matter in a rotating frame. By explicit calculations at zero temperature we show that the scalar condensate of fermion and anti-fermion cannot be modified by the rotation once the boundary condition is properly implemented. The situation is qualitatively changed at finite temperature and/or in the presence of a sufficiently strong magnetic field that supersedes the boundary effects. Therefore, to establish an interpretation of the rotation as an effective chemical potential, it is crucial to consider further environmental effects such as the finite temperature and magnetic field.