Publication : t00/145
Generalized Lorentzian triangulations and the Calogero Hamiltonian
Di Francesco P. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)Guitter E. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Kristjansen C. (The Niels Bohr Institute Blegdamsvej 17, DK-2100 Copenhagen, DENMARK)
Abstract:Année de publication : 2001
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 $\beta$. 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.
Revue : Nucl. Phys. B [FS] 608 485-526 (2001)
DOI : 10.1016/S0550-3213(01)00239-5
Preprint : arXiv:hep-th/0010259
Numéro Exterieur : NBI-HE-00-039
Langue : Anglais
Fichier(s) à télécharger :
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