2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/28137The present status of the renormalization-group (RG) predictions on the superfluid density $ρ_s$ and the specific heat $C^+$ and $C^-$ near the $λ$-line of $^4He$ is briefly reviewed. Particular attention is given to universal amplitude ratios related to these quantities. The goals of a new theory project are presented that involves higher-order calculations of the amplitude functions of $ρ_s, C^+$ and $C^-$ which are of fundamental importance for a test of the universality predictions of the RG theory.Proceedings of the 1997 NASA/JPL Workshop on Fundamental Physics in Microgravity, Santa Barbara, May 7-9, 1997, edited by D. Strayer (JPL, Pasadena, 1997), p. xxx. Correction of an inadvertent error in the previous version of the titleStatistical Mechanicstext