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Universality of One-Dimensional Fermi Systems, II. The Luttinger Liquid Structure

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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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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Roma “Tor Vergata”, 00133, Rome, Italy

    G. Benfatto

  2. Department of Mathematics, California State University, Northridge, CA, 91330, USA

    P. Falco

  3. Dipartimento di Matematica F. Enriquez, Università di Milano, Via Saldini 50, Milan, Italy

    V. Mastropietro

Authors
  1. G. Benfatto
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  2. P. Falco
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  3. V. Mastropietro
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Correspondence to V. Mastropietro.

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Communicated by M. Salmhofer

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Benfatto, G., Falco, P. & Mastropietro, V. Universality of One-Dimensional Fermi Systems, II. The Luttinger Liquid Structure. Commun. Math. Phys. 330, 217–282 (2014). https://doi.org/10.1007/s00220-014-2009-x

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  • DOI: https://doi.org/10.1007/s00220-014-2009-x

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