Path-Integral Optimization from Hartle-Hawking Wave Function

Autor:	Boruch, Jan, Caputa, Pawel, Takayanagi, Tadashi
Rok vydání:	2020
Předmět:	High Energy Physics - Theory General Relativity and Quantum Cosmology Quantum Physics
Zdroj:	Phys. Rev. D 103, 046017 (2021)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevD.103.046017
Popis:	We propose a gravity dual description of the path-integral optimization in conformal field theories arXiv:1703.00456, using Hartle-Hawking wave functions in anti-de Sitter spacetimes. 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 semi-classical 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. Comment: 7 pages, Revtex, 1 Figure, 1 Appendix, v2: Typos corrected, published version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2011.08188 Zobrazit plný text záznamu View this record from Arxiv