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

• Received 4 August 2006

DOI:https://doi.org/10.1103/PhysRevB.74.132502