Archivi FM 11-07, arXiv:0707.2917

Author Pierluigi Falco, Vieri Mastropietro

Title Renormalization Group and Asymptotic Spin--Charge separation for Chiral Luttinger liquids.

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.

Keywords Renormalization group, fermionic systems, Ward Identities, Schwinger-Dyson equation

Pierluigi Falco
Dipartimento di Matematica, Universita' di Roma ``Tor Vergata''
via della Ricerca Scientifica, I-00133, Roma

Vieri Mastropietro
Dipartimento di Matematica, Universita' di Roma ``Tor Vergata''
via della Ricerca Scientifica, I-00133, Roma

Pierluigi Falco

Last modified: Wed Dec 19 20:19:44 CET 2007