FM 07-09; mp_arc 09-116

Authors : Giuseppe Benfatto and Vieri Mastropietro

Title: Universality relations in non-solvable quantum spin chains

Abstract: We prove the exact relations between the critical exponents and the susceptibility, implied by the Haldane Luttinger liquid conjecture, for a generic lattice fermionic model or a quantum spin chain with short range weak interaction. The validity of such relations was only checked in some special solvable models, but there was up to now no proof of their validity in non-solvable models.

Keywords: Quantum spin chains, Fermion models, Critical indices, Renormalization group.

Giuseppe Benfatto
Dipartimento di Matematica,
Universita' di Roma "Tor Vergata",
Via della Ricerca Scientifica 1, 00133 Roma, Italy
benfatto@mat.uniroma2.it

Vieri Mastropietro
Dipartimento di Matematica,
Universita' di Roma "Tor Vergata",
Via della Ricerca Scientifica 1, 00133 Roma, Italy
mastropi@mat.uniroma2.it