Running coupling constants of the Luttinger liquid
arXiv:cond-mat/0307101 · doi:10.1016/j.physleta.2005.07.054
Abstract
Two running coupling constants of the Luttinger liquid are computed in the fermion-fermion and fermion-antifermion channels. Nontrivial scaling laws are found together with Landau poles. The apparent contradiction with the expected vanishing of the beta functions is explained.
Final version, to appear in Phys. Lett. A