Generalized Lorentzian Triangulations and the Calogero Hamiltonian
High Energy Physics - Theory
2007-05-23 v2 Statistical Mechanics
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 \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.
Keywords
Cite
@article{arxiv.hep-th/0010259,
title = {Generalized Lorentzian Triangulations and the Calogero Hamiltonian},
author = {P. Di Francesco and E. Guitter and C. Kristjansen},
journal= {arXiv preprint arXiv:hep-th/0010259},
year = {2007}
}
Comments
47 pages, 5 figures, tex, harvmac, epsf. New title, new introduction, uses a more Stat. Mech. oriented language