High Precision Measurement of the Thermal Exponent for the Three-Dimensional XY Universality Class

Abstract

Simulations results are reported for critical point of the two-component ${\varphi }^4$ field theory. The correlation length exponent is measured to high precision with the result $\nu =0.6717(3)$. 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)].

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