The gravity dual of a density matrix

For a state in a quantum field theory on some spacetime, we can associate a density matrix to any subset of a given spacelike slice by tracing out the remaining degrees of freedom. In the context of the AdS CFT correspondence, if the original state has a dual bulk spacetime with a good classical des...

Full description

Saved in:
Bibliographic Details
Published inClassical and quantum gravity Vol. 29; no. 15; pp. 155009 - 16
Main Authors Czech, Bart omiej, Karczmarek, Joanna L, Nogueira, Fernando, Van Raamsdonk, Mark
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 07.08.2012
Institute of Physics
Subjects
AdS/CFT
Bulk density
Construction specifications
Degrees of freedom
Density
Exact sciences and technology
General relativity and gravitation
Gravitation
holography
Mathematical analysis
Physics
Proposals
Quantum gravity
Density matrix
Space-time
Degrees of freedom
Field theories
Quantum field theory
Gravity
Online AccessGet full text
ISSN0264-9381
1361-6382
DOI10.1088/0264-9381/29/15/155009

Cover

More Information
Summary:For a state in a quantum field theory on some spacetime, we can associate a density matrix to any subset of a given spacelike slice by tracing out the remaining degrees of freedom. In the context of the AdS CFT correspondence, if the original state has a dual bulk spacetime with a good classical description, it is natural to ask how much information about the bulk spacetime is carried by the density matrix for such a subset of field theory degrees of freedom. In this note, we provide several constraints on the largest region that can be fully reconstructed, and discuss specific proposals for the geometric construction of this dual region.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0264-9381
1361-6382
DOI:10.1088/0264-9381/29/15/155009