We complete the proof started in Benfatto et al. (2014) of the universal Luttinger liquid relations for a general model of spinning fermions on a lattice, by making use of the Ward identities due to asymptotically emerging symmetries. This is done by introducing an effective model verifying extra symmetries and by relating its critical exponents to those of the fermion lattice gas by suitable fine tuning of the parameters
Universality of one-dimensional Fermi Systems, II : the Luttinger liquid structure / G. Benfatto, P. Falco, V. Mastropietro. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - (2014 Mar). [10.1007/s00220-014-2009-x]
Universality of one-dimensional Fermi Systems, II : the Luttinger liquid structure
V. Mastropietro
2014
Abstract
We complete the proof started in Benfatto et al. (2014) of the universal Luttinger liquid relations for a general model of spinning fermions on a lattice, by making use of the Ward identities due to asymptotically emerging symmetries. This is done by introducing an effective model verifying extra symmetries and by relating its critical exponents to those of the fermion lattice gas by suitable fine tuning of the parameters
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