Quantum Graphity: a model of emergent locality

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dc.creatorKonopka, Tomasz
dc.creatorMarkopoulou, Fotini
dc.creatorSeverini, Simone
dc.date2008-01-06
dc.date2008-05-23
dc.date.accessioned2026-07-07T11:39:48Z
dc.date.available2026-07-07T11:39:48Z
dc.descriptionQuantum graphity is a background independent model for emergent locality, spatial geometry and matter. The states of the system correspond to dynamical graphs on N vertices. At high energy, the graph describing the system is highly connected and the physics is invariant under the full symmetric group acting on the vertices. We present evidence that the model also has a low-energy phase in which the graph describing the system breaks permutation symmetry and appears to be ordered, low-dimensional and local. Consideration of the free energy associated with the dominant terms in the dynamics shows that this low-energy state is thermodynamically stable under local perturbations. The model can also give rise to an emergent U(1) gauge theory in the ground state by the string-net condensation mechanism of Levin and Wen. We also reformulate the model in graph-theoretic terms and compare its dynamics to some common graph processes.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/0801.0861
dc.identifierhttp://arxiv.org/abs/0801.0861
dc.identifierPhys.Rev.D77:104029,2008
dc.identifierdoi:10.1103/PhysRevD.77.104029
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200056
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectQuantum Physics
dc.titleQuantum Graphity: a model of emergent locality
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