FM 2005-9

Author: G. Benfatto, V Mastropietro

Title: Exact analysis of the Tomonaga model
 
Abstract: Despite fifty years of intense research, an exact analysis of the Tomonaga model is still lacking, as the bandwith cutoff makes the model not solvable. We fill this gap by combining exact Renormalization Group with Ward identities and a set of newly discovered ``Correction Identities'' relating the corrections of formal Ward identities (due to cutoffs) to the Schwinger functions. The same method gives rigorous results for essentially 1d spinless Fermi systems.

Keywords: Interacting fermions, spin, Ward identities, Renormalization Group

Giuseppe Benfatto
Dipartimento di Matematica
Università di Roma Due
Via della Ricerca scientifica, Roma, Italia
e-mail: benfatto@mat.uniroma2.it Vieri Mastropietro
Dipartimento di Matematica
Università di Roma Due
Via della Ricerca scientifica, Roma, Italia
e-mail: mastropi@mat.uniroma2.it