Conformal field theory in the Tomonaga-Luttinger model with the 1/r β long-range interaction

Hitoshi Inoue, Kiyohide Nomura

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12 Citations (Scopus)


We attempt to construct U(1) conformal field theory (CFT) in the Tomonaga-Luttinger (TL) liquid with the 1/rβ long-range interaction (LRI). Treating the long-range forward scattering as a perturbation and applying CFT to it, we derive finite size scalings which depend on the power of the LRI. The obtained finite size scalings give nontrivial behaviours when β is odd and is close to 2. We find consistency between the analytical arguments and numerical results in the finite size scaling of energy.

Original languageEnglish
Pages (from-to)2161-2175
Number of pages15
JournalJournal of Physics A: Mathematical and General
Issue number9
Publication statusPublished - Mar 3 2006

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)


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