2016/12/31 by Bin Chen, Jiang Long
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Conical surface #Cosmology and Gravitation Theories #Dimension (graph theory) #Disjoint sets #Geometry #Massless particle #Mathematical analysis #Mathematical physics #Mathematics #Mutual information #Noncommutative and Quantum Gravity Theories #Operator (biology) #Operator product expansion #Physics #Pure mathematics #Quantum mechanics #Scalar (mathematics) #Scalar field #Spacetime #Spins #Twist #hep-th
paper · pdf · doi:10.1103/physrevd.96.045006
published as Phys. Rev. D 96, 045006 (2017) · 29 pages; More discussion on the partition function of primary operators, the contribution from spin-1 operator has been corrected
openalex created_date 2016/12/08 · arxiv created 2017/01/19 · openalex publication_date 2017/08/08 · arxiv updated 2017/08/16 · openalex updated_date 2026/08/05
We compute the R'enyi mutual information of two disjoint spheres in free massless scalar theory in even dimensions higher than 2. The spherical twist operator in a conformal field theory can be expanded into the sum of local primary operators and their descendants. We analyze the primary operators in the replicated scalar theory and find the ones of the fewest dimensions and spins. We study the one-point function of these operators in the conical geometry and obtain their expansion coefficients in the operator product expansion of spherical twist operators. We show that the R'enyi mutual information can be expressed in terms of the conformal partial waves. We compute explicitly the R'enyi mutual information up to order zd, where z is the cross ratio and d is the spacetime dimension.