Renormalization-group theory for rotating 4He near the superfluid transition

Abstract

The influence of a uniform rotation with frequency Omega on the critical behavior of liquid 4He near T_lambda is investigated. We apply our recently developed approach which is a renormalization-group theory based on model F starting with the calculation of the Green's function in Hartree approximation. We calculate the specific heat, the correlation length, and the thermal resistivity tensor as functions of the temperature T for fixed values of the rotation frequency Omega. For nonzero Omega we find that all physical quantities are smooth near T_lambda so that the superfluid transition is a smooth crossover. We define a frequency-dependent transition temperature T_lambda(Omega) by the maximum of the specific heat and present a power law prediction. For T<T_lambda(Omega) we find mutual friction between the superfluid and the normal-fluid component caused implicitly by the motion of vortex lines and calculate the Vinen coefficients B and B'.

16 pages, 4 figures