The Luttinger model owes its solvability to a number of peculiar features, like its linear relativistic dispersion relation, which are absent in more realistic fermionic systems. Nevertheless according to the Luttinger liquid conjecture a number of relations between exponents and other physical quantities, which are valid in the Luttinger model, are believed to be true in a wide class of systems, including tight binding or jellium one-dimensional fermionic systems. Recently a rigorous proof of several Luttinger liquid relations in nonsolvable models has been achieved; it is based on exact Renormalization Group methods coming from Constructive Quantum Field Theory and its main steps will be reviewed below.
|Titolo:||LUTTINGER MODEL AND LUTTINGER LIQUIDS|
MASTROPIETRO, VIERI (Primo)
|Parole Chiave:||Luttinger liquids; Luttinger model; renormalization group; Ward Identities|
|Settore Scientifico Disciplinare:||Settore MAT/07 - Fisica Matematica|
|Data di pubblicazione:||2012|
|Digital Object Identifier (DOI):||10.1142/S0217979212440067|
|Appare nelle tipologie:||01 - Articolo su periodico|