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arxiv: cond-mat/0307101 · v3 · pith:PVRS4UKDnew · submitted 2003-07-04 · ❄️ cond-mat.str-el · hep-th

Running coupling constants of the Luttinger liquid

classification ❄️ cond-mat.str-el hep-th
keywords constantscouplingliquidluttingerrunningapparentbetachannels
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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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