Fubini vacua as a classical de Sitter vacua

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dc.creatorLoran, Farhang
dc.date2006-12-11
dc.date.accessioned2026-07-07T11:59:31Z
dc.date.available2026-07-07T11:59:31Z
dc.descriptionThe Fubini's idea to introduce a fundamental scale of hadron phenomena by means of dilatation non-invariant vacuum state in the frame work of a scale invariant Lagrangian field theory is recalled. The Fubini vacua is invariant under the de Sitter subgroup of the full conformal group. We obtain a finite entropy for the quantum state corresponding to the classical Fubini vacua in Euclidean space-time resembeling the entropy of the de Sitter vacua. In Minkowski space-time it is shown that the Fubini vacua is mainly a bath of radiation with Rayleigh-Jeans distribution for the low energy radiation. In four dimensions, the critical scalar theory is shown to be equivalent to the Einstein field equation in the ansatz of conformally flat metrics and to the SU(2) Yang-Mills theory in the 't Hooft ansatz. In D-dimensions, the Hitchin formula for the information geometry metric of the moduli space of instantons is used to obtain the information geometry of the free-parameter space of the Fubini vacua which is shown to be a (D+1)-dimensional AdS space. Considering the Fubini vacua as a de Sitter vacua, the corresponding cosmological constant is shown to be given by the coupling constant of the critical scalar theory. In Minkowski spacetime it is shown that the Fubini vacua is equivalent to an open FRW universe.
dc.description15 pages, revtex4, to appear in Mod.Phys.Lett. A
dc.identifierhttps://arxiv.org/abs/hep-th/0612089
dc.identifierhttp://arxiv.org/abs/hep-th/0612089
dc.identifierMod.Phys.Lett.A22:2217-2235,2007
dc.identifierdoi:10.1142/S0217732307022426
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/206588
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleFubini vacua as a classical de Sitter vacua
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