Rotating fermions inside a spherical boundary

Abstract

We apply the cannonical quantization procedure to the Dirac field inside a spherical boundary with rotating coordinates. The rotating quantum states with two kinds of boundary conditions, namely, spectral and MIT boundary conditions, are defined. To avoid faster-than-light, we require the speed on the surface to be less than the speed of light. For this situation, the definition of vacuum is unique and identical with the Minkowski vacuum. Finally, we calculate the thermal expectation value of the fermion condensate in a thermal equilibrium rotating fermion field and find it depends on the boundary condition.

References in corpus (6)

• The Chiral Magnetic Effect
• Charge separation induced by P-odd bubbles in QCD matter
• Testing the chiral magnetic and chiral vortical effects in heavy ion collisions
• Interacting fermions in rotation: chiral symmetry restoration, moment of inertia and thermodynamics
• Modeling Finite-Volume Effects and Chiral Symmetry Breaking in Two-Flavor QCD Thermodynamics
• Chiral phase transition in a rotating sphere