In a rigidly rotating free Fermi gas, the relativistic Barnett effect produces different Fermi energies for spin-up and spin-down fermions, leading to a moment of inertia that scales as 1/T at high temperature, analogous to the Curie law.
Effects of rotation and boundaries on chiral symmetry breaking of relativistic fermions
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abstract
In order to avoid unphysical causality-violating effects any rigidly rotating system must be bounded in directions transverse to the axis of rotation. We demonstrate that this requirement implies substantial dependence of properties of relativistically rotating system on the boundary conditions. We consider a system of interacting fermions described by the Nambu-Jona-Lasinio model in a space bounded by cylindrical surface of finite radius. In order to confine the fermions inside the cylinder we impose "chiral" MIT boundary conditions on its surface. These boundary conditions are parameterized by a continuous chiral angle \Theta. We find that at any value of \Theta the chiral restoration temperature T_c decreases as a quadratic function of the angular frequency \Omega. However, the position and the slope of the critical curve T_c = T_c(\Omega) in the phase diagram depends noticeably on the value of the chiral angle.
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Rotation lowers critical temperatures for chiral and deconfinement transitions in the Polyakov linear sigma model under causality constraints, with mechanical properties computed in the homogeneous limit.
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Relativistic Barnett effect and Curie law in a rigidly rotating free Fermi gas
In a rigidly rotating free Fermi gas, the relativistic Barnett effect produces different Fermi energies for spin-up and spin-down fermions, leading to a moment of inertia that scales as 1/T at high temperature, analogous to the Curie law.
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Linear sigma model with quarks and Polyakov loop in rotation: phase diagrams, Tolman-Ehrenfest law and mechanical properties
Rotation lowers critical temperatures for chiral and deconfinement transitions in the Polyakov linear sigma model under causality constraints, with mechanical properties computed in the homogeneous limit.