Renormalization-Group Theory and Universality along the Lambda Line of ${}^4$He

Abstract

The present status of the renormalization-group (RG) predictions on the superfluid density ${\rho }_s$ and the specific heat $C^{+}$ and $C^{-}$ near the $\lambda$-line of ${}^{4}He$ 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 ${\rho }_s,C^{+}$ 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 title