Quantum gravity as a Fermi liquid

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dc.creatorAlexander, Stephon H. S.
dc.creatorCalcagni, Gianluca
dc.date2008-07-01
dc.date2008-11-21
dc.date.accessioned2026-07-07T12:14:52Z
dc.date.available2026-07-07T12:14:52Z
dc.descriptionWe present a reformulation of loop quantum gravity with a cosmological constant and no matter as a Fermi-liquid theory. When the topological sector is deformed and large gauge symmetry is broken, we show that the Chern-Simons state reduces to Jacobson's degenerate sector describing 1+1 dimensional propagating fermions with nonlocal interactions. The Hamiltonian admits a dual description which we realize in the simple BCS model of superconductivity. On one hand, Cooper pairs are interpreted as wormhole correlations at the de Sitter horizon; their number yields the de Sitter entropy. On the other hand, BCS is mapped into a deformed conformal field theory reproducing the structure of quantum spin networks. When area measurements are performed, Cooper-pair insertions are activated on those edges of the spin network intersecting the given area, thus providing a description of quantum measurements in terms of excitations of a Fermi sea to superconducting levels. The cosmological constant problem is naturally addressed as a nonperturbative mass-gap effect of the true Fermi-liquid vacuum.
dc.description45 pages, 1 figure; v2: discussion improved, version accepted by Found. Phys
dc.identifierhttps://arxiv.org/abs/0807.0225
dc.identifierhttp://arxiv.org/abs/0807.0225
dc.identifierFound.Phys.38:1148-1184,2008
dc.identifierdoi:10.1007/s10701-008-9257-6
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211343
dc.subjectHigh Energy Physics - Theory
dc.subjectSuperconductivity
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleQuantum gravity as a Fermi liquid
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