Generalized lorentzian triangulations and the calogero hamiltonian

P. Di Francesco, E. Guitter, C. Kristjansen

Research output: Contribution to journalArticlepeer-review


We introduce and solve a generalized model of (1+1)D Lorentzian triangulations in which a certain subclass of outgrowths is allowed, the occurrence of these being governed by a coupling constant β. Combining transfer matrix-, saddle point- and path integral-techniques we show that for β<1 it is possible to take a continuum limit in which the model is described by a 1D quantum Calogero Hamiltonian. The coupling constant β survives the continuum limit and appears as a parameter of the Calogero potential.

Original languageEnglish (US)
Pages (from-to)485-526
Number of pages42
JournalNuclear Physics B
Issue number3
StatePublished - Aug 13 2001
Externally publishedYes


  • 04.60.-m
  • 04.60.Kz
  • 04.60.Nc
  • 05.20.-y

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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