Holographic computation of quantum corrections to the bulk cosmological constant

Aoki, Sinya (Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto University, Kitashirakawa-Oiwakecho, Sakyo-Ku, Kyoto, Japan) ; Balog, Janos (Institute for Particle and Nuclear Physics, Wigner Research Centre for Physics, MTA Lendület Holographic QFT Group, 1525 Budapest 114, P.O.B. 49, Hungary) ; Yokoyama, Shuichi (Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto University, Kitashirakawa-Oiwakecho, Sakyo-Ku, Kyoto, Japan)

02 May 2019

Abstract: We explore the construction of the dual bulk theory in the flow equation approach. We compute the vacuum expectation value of the Einstein operator at the next-to-leading order in the expansion using a free O( ) vector model. We interpret the next-to-leading correction as the quantum correction to the cosmological constant of the anti-de Sitter space. We finally comment on how to generalize this computation to matrix elements of the Einstein operator for excited states.


Published in: PTEP 2019 (2019) 043B06
Published by: Oxford University Press/Physical Society of Japan
DOI: 10.1093/ptep/ptz026
arXiv: 1804.4636
License: CC-BY-3.0



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