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.
Moment of Inertia of an Interacting Bose Gas
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abstract
The response of many-body quantum systems to rotation can be characterized by the moment of inertia. For a classical gas, the moment of inertia can be expressed as the integral of the enthalpy density multiplied by the squared radial distance from the rotation axis. In quantum field theory, the finite rotation in the grand canonical ensemble demands the causality bound. This constraint imposes technical challenges in treating transverse momenta discretized with the Bessel function zeros. However, we define the moment of inertia in the limit of zero angular velocity, in which the causality constraint is irrelevant and ordinary quantum field theoretical techniques can be applied. We evaluate the moment of inertia in the $\phi^4$ theory and find that, surprisingly, the interacting effects including the ring-diagram resummation are consistent with the classical expectation and the moment of inertia density remains proportional to the enthalpy density.
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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.