Abstract
We offer an explanation of the long-standing discrepancy between finite-size scaling theory and the observed temperature shift TλTm of the specific-heat maximum in confined He4. On the basis of a renormalization-group calculation using Dirichlet boundary conditions we argue that a new size-dependent scaling variable should be employed. The theory agrees with the data in the regime TλTm without an adjustment of parameters and explains the gradual onset of finite-size effects far from Tλ.