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

The influence of a uniform rotation with frequency Omega on the critical behavior of liquid He-4 near T-lambda is investigated. We apply our recently developed approach [R. Haussmann, preceding paper, Phys. Rev. B 60, 12 349 (1999)] 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 C-Omega(T, Omega), the correlation length xi(T, Omega), and the thermal-resistivity tensor rho(T)(T, Omega) 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 predict the shift T-lambda(Omega)-T-lambda = -1.2T(lambda)(2m(4)xi(0)(2)Omega/(h) over bar)(1/2 nu). 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'. [S0163-1829(99)03641-3].