Renormalization Group and Asymptotic Spin--Charge separation for Chiral Luttinger liquids
arXiv:0707.2917 · doi:10.1007/s10955-007-9474-y
Abstract
The phenomenon of Spin-Charge separation in non-Fermi liquids is well understood only in certain solvable d=1 fermionic systems. In this paper we furnish the first example of asymptotic Spin-Charge separation in a d=1 non solvable model. This goal is achieved using Renormalization Group approach combined with Ward-Identities and Schwinger-Dyson equations, corrected by the presence of a bandwidth cut-offs. Such methods, contrary to bosonization, could be in principle applied also to lattice or higher dimensional systems.
45 pages, 11 figures