New Upper Limit on the Total Neutrino Mass from the 2 Degree Field Galaxy Redshift Survey

We constrain f_ν≡Ω_ν/Ωₘ, the fractional contribution of neutrinos to the total mass density in the Universe, by comparing the power spectrum of fluctuations derived from the 2 Degree Field Galaxy Redshift Survey with power spectra for models with four components: baryons, cold dark matter, massive neutrinos, and a cosmological constant. Adding constraints from independent cosmological probes we find f_ν<0.13 (at 95% confidence) for a prior of 0.1<Ωₘ<0.5, and assuming the scalar spectral index $n=1$. This translates to an upper limit on the total neutrino mass m_ν,tot<1.8 eV for ``concordance'' values of Ωₘ and the Hubble constant.