Data di Pubblicazione:
2012
Citazione:
LUTTINGER MODEL AND LUTTINGER LIQUIDS / V. Mastropietro. - In: INTERNATIONAL JOURNAL OF MODERN PHYSICS B. - ISSN 0217-9792. - 26:22(2012).
Abstract:
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Luttinger liquids; Luttinger model; renormalization group; Ward Identities
Elenco autori:
V. Mastropietro
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