On the "effective exponent theory" of the Coulomb Luttinger liquid

The "effective exponent theory", developed by Wang, Millis and Das Sarma in [Phys. Rev. B 69, 167101 (2004), Phys. Rev. B 64, 193307 (2001)], fails to calculate correctly the dynamic correlators of Coulomb Luttinger liquid. Main drawbacks are (i) cutting off the Coulomb potential by killing its long-range component, (ii) the absence of non-contradictory procedure to determine the 'scaling cutoff' and correlation functions for true Coulomb interaction.