For a weakly interacting phi^4 Bose gas, the moment of inertia density is the perpendicular radius squared times the enthalpy density, holding through order lambda^(3/2) including ring-diagram resummation.
The Rotating Quantum Thermal Distribution
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We show that the rigidly rotating quantum thermal distribution on flat space-time suffers from a global pathology which can be cured by introducing a cylindrical mirror if and only if it has a radius smaller than that of the speed-of-light cylinder. When this condition is met, we demonstrate numerically that the renormalized expectation value of the energy-momentum stress tensor corresponds to a rigidly rotating thermal bath up to a finite correction except on the mirror where there are the usual Casimir divergences.
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Moment of Inertia of an Interacting Bose Gas
For a weakly interacting phi^4 Bose gas, the moment of inertia density is the perpendicular radius squared times the enthalpy density, holding through order lambda^(3/2) including ring-diagram resummation.