Abstract
The specific heat and superfluid density of liquid4He are calculated using a vortex-ring renormalization group theory, both for the bulk fluid and for confinement in a sphere of diameter L. In the finite geometry the superfluid density remains finite and universal at Tλ, in agreement with Monte Carlo simulations and with finite-size scaling. The specific-heat peak is flattened in the finite geometry, and the onset temperature of the deviation from bulk behavior approaches Tλ more closely as L is increased.
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