Generalized Lorentzian Triangulations and the Calogero Hamiltonian

Details Generalized Lorentzian Triangulations and the Calogero Hamiltonian Generalized Lorentzian Triangulations and the Calogero Hamiltonian

2000-10-27

arxiv.org/abs/hep-th/0010259v2

Nucl.Phys. B608 (2001) 485-526

Physics

High Energy Physics

High Energy Physics - Theory

47 pages, 5 figures, tex, harvmac, epsf. New title, new introduction, uses a more Stat. Mech. oriented language

Scientific paper

10.1016/S0550-3213(01)00239-5

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 \beta. Combining transfer matrix-, saddle point- and path integral techniques we show that for \beta<1 it is possible to take a continuum limit in which the model is described by a 1D quantum Calogero Hamiltonian. The coupling constant \beta survives the continuum limit and appears as a parameter of the Calogero potential.

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