Vieri Mastropietro
Rigorous proof of Luttinger liquid behavior in the 
1d Hubbard model
(508K, postscript)

ABSTRACT.  We give the first rigorous (non perturbative) proof 
of Luttinger liquid behavior in the one dimensional Hubbard 
model, for small repulsive interaction and values 
of the density different from half filling. 
The analysis is based on the combination 
of multiscale analysis with Ward 
identities bases on a hidden and approximate local chiral gauge invariance. 
No use is done of exact solutions or 
special integrability properties of the Hubbard model, 
and the results can be in fact easily generalized to include 
non local interactions, magnetic 
fields or interaction with external potentials