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Generalized Lorentzian Triangulations and the Calogero Hamiltonian

P. Di Francesco·E. Guitter·C. Kristjansen
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Abstract

We introduce and solve a generalized model of 1+1D 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 βsurvives the continuum limit and appears as a parameter of the Calogero potential.

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P. Di Francesco, E. Guitter, C. Kristjansen. 2001-05-16. Generalized Lorentzian Triangulations and the Calogero Hamiltonian. https://doi.org/10.1016/s0550-3213(01)00239-5

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