The geometry of dynamical triangulations

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dc.creatorAmbjorn, J.
dc.creatorCarfora, M.
dc.creatorMarzuoli, A.
dc.date1996-12-06
dc.date.accessioned2026-07-07T12:03:51Z
dc.date.available2026-07-07T12:03:51Z
dc.descriptionWe discuss the geometry of dynamical triangulations associated with 3-dimensional and 4-dimensional simplicial quantum gravity. We provide analytical expressions for the canonical partition function in both cases, and study its large volume behavior. In the space of the coupling constants of the theory, we characterize the infinite volume line and the associated critical points. The results of this analysis are found to be in excellent agreement with the MonteCarlo simulations of simplicial quantum gravity. In particular, we provide an analytical proof that simply-connected dynamically triangulated 4-manifolds undergo a higher order phase transition at a value of the inverse gravitational coupling given by 1.387, and that the nature of this transition can be concealed by a bystable behavior. A similar analysis in the 3-dimensional case characterizes a value of the critical coupling (3.845) at which hysteresis effects are present.
dc.description166 pages, Revtex (latex) file
dc.identifierhttps://arxiv.org/abs/hep-th/9612069
dc.identifierhttp://arxiv.org/abs/hep-th/9612069
dc.identifierLect.NotesPhys.50:197,1997
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/207935
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Lattice
dc.titleThe geometry of dynamical triangulations
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