Generalized Lorentzian Gravity in 1+1D and the Calogero Hamiltonian

نویسندگان

  • P. Di Francesco
  • E. Guitter
چکیده

We introduce and solve a generalized 1+1D Lorentzian gravity model in which a certain subclass of baby-universes is allowed, the occurrence of these being governed by a coupling constant β. Combining transfer matrix-, saddle pointand 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.

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تاریخ انتشار 2000