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Path integral optimization from Hartle-Hawking wave function

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dc.abstract.enWe propose a gravity dual description of the path integral optimization in conformal field theories [Caputa et al., Phys. Rev. Lett. 119, 071602 (2017)], using Hartle-Hawking wave functions in anti–de Sitter spacetime. We show that the maximization of the Hartle-Hawking wave function is equivalent to the path integral optimization procedure. Namely, the variation of the wave function leads to a constraint, equivalent to the Neumann boundary condition on a bulk slice, whose classical solutions reproduce metrics from the path integral optimization in conformal field theories. After taking the boundary limit of the semiclassical Hartle-Hawking wave function, we reproduce the path integral complexity action in two dimensions, as well as its higher- and lower-dimensional generalizations. We also discuss an emergence of holographic time from conformal field theory path integrals.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorTakayanagi, Tadashi
dc.contributor.authorBoruch, Jan
dc.contributor.authorCaputa, Paweł
dc.date.accessioned2024-01-25T16:22:00Z
dc.date.available2024-01-25T16:22:00Z
dc.date.issued2021
dc.description.financePublikacja bezkosztowa
dc.description.number4
dc.description.volume103
dc.identifier.doi10.1103/PHYSREVD.103.046017
dc.identifier.issn2470-0010
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/115589
dc.identifier.weblinkhttps://link.aps.org/article/10.1103/PhysRevD.103.046017
dc.languageeng
dc.pbn.affiliationphysical sciences
dc.relation.ispartofPhysical Review D
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titlePath integral optimization from Hartle-Hawking wave function
dc.typeJournalArticle
dspace.entity.typePublication