Boundary effects and gapped dispersion in rotating fermionic matter

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.

6 pages, 1 figure

References in corpus (6)

• The Chiral Magnetic Effect
• Gravitational Anomaly and Transport
• Quantum Anomalies in Dense Matter
• Inhomogeneous chiral condensates
• The ideal relativistic spinning gas: polarization and spectra
• Chiral asymmetry of the Fermi surface in dense relativistic matter in a magnetic field

Cited by in corpus (10)

• Interacting fermions in rotation: chiral symmetry restoration, moment of inertia and thermodynamics
• Deconfining Phase Boundary of Rapidly Rotating Hot and Dense Matter and Analysis of Moment of Inertia
• Pion Condensation by Rotation in a Magnetic field
• Edge states and thermodynamics of rotating relativistic fermions under magnetic field
• Inhomogeneous chiral condensation under rotation in the holographic QCD
• Surface Magnetic Catalysis
• QCD phase structure under rotation
• Rotation induced charged pion condensation in a strong magnetic field: A Nambu--Jona-Lasino model study
• Chiral phase transition inside a rotating cylinder within the Nambu--Jona-Lasinio model
• Chiral phase transition in a rotating sphere