  Simulations results are reported for critical point of the two-component
$\phi^4$ field theory. The correlation length exponent is measured to high
precision with the result $\nu=0.6717(3)$. This value is in agreement with
recent simulation results [Campostrini \textit{et al}., Phys. Rev. B
\textbf{63}, 214503 (2001)], and marginally agrees with the most recent
space-based measurements of the superfluid transition in $^4$He [Lipa
\textit{et al}., Phys. Rev. B \textbf{68}, 174518 (2003)].
