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Perturbative expansions of Rényi relative divergences and holography.
- Source :
- Journal of High Energy Physics; Jun2020, Vol. 2020 Issue 6, p1-27, 27p
- Publication Year :
- 2020
-
Abstract
- In this paper, we develop a novel way to perturbatively calculate Rényi relative divergences D<subscript>γ</subscript>(ρ‖σ) = trρ<superscript>γ</superscript>σ<superscript>1 − γ</superscript> and related quantities without using replica trick as well as analytic continuation. We explicitly determine the form of the perturbative term at any order by an integral along the modular flow of the unperturbed state. By applying the prescription to a class of reduced density matrices in conformal field theory, we find that the second order term of certain linear combination of the divergences has a holographic expression in terms of bulk symplectic form, which is a one parameter generalization of the statement "Fisher information = Bulk canonical energy". [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 11266708
- Volume :
- 2020
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- Journal of High Energy Physics
- Publication Type :
- Academic Journal
- Accession number :
- 144651569
- Full Text :
- https://doi.org/10.1007/JHEP06(2020)053