Running coupling constants of the Luttinger liquid

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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Final version, to appear in Phys. Lett. A

Scientific paper

Two running coupling constants of the Luttinger liquid are computed in the
fermion-fermion and fermion-antifermion channels. Nontrivial scaling laws are
found together with Landau poles. The apparent contradiction with the expected
vanishing of the beta functions is explained.

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