2021/05/27 by Ahmad Ghodsi, Malihe Siahvoshan
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Curvature #Flow (mathematics) #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Maxima and minima #Noncommutative and Quantum Gravity Theories #Order (exchange) #Physics #Renormalization #Renormalization group #Scalar (mathematics) #Scalar curvature #Superpotential #Supersymmetry #hep-th
paper · pdf · doi:10.1103/physrevd.104.126025
33 pages, 4 figures
arxiv created 2021/05/27 · openalex created_date 2021/06/07 · openalex publication_date 2021/12/28 · arxiv updated 2021/12/30 · openalex updated_date 2026/08/05
We study the holographic renormalization group (RG) flow in the presence of higher-order curvature corrections to the (d+1)-dimensional Einstein-Hilbert (EH) action for an arbitrary interacting scalar matter field by using the superpotential approach. We find the critical points of the RG flow near the local minima and maxima of the potential and show the existence of the bounce solutions. In contrast to the EH gravity, regarding the values of couplings of the bulk theory, superpotential may have both upper and lower bounds. Moreover, the behavior of the RG flow is controlled by singular curves. This study may shed some light on how a c-function can exist in the presence of these corrections.