Holographic solar systems and hydrogen atoms: non-relativistic physics in AdS and its CFT dual
Henry Maxfield, Zahra Zahraee
Abstract
A bstract We study a non-relativistic limit of physics in AdS which retains the curvature through a harmonic Newtonian potential. This limit appears in a CFT dual through the spectrum of operators of large dimension and correlation functions of those operators with appropriate kinematics. In an additional flat spacetime limit, the spectrum is determined by scattering phase shifts (proportional to anomalous dimensions), and a CFT correlation function is proportional to the S-matrix. In particular, we describe the effect of resonances on the spectrum and correlation functions. As an example, we discuss the Coulomb potential (describing solar systems and hydrogen atoms in AdS) in detail.
Topics & Concepts
PhysicsCorrelation function (quantum field theory)CoulombScatteringLimit (mathematics)Spectrum (functional analysis)Quantum mechanicsMathematical physicsMathematical analysisMathematicsDielectricElectronBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesQuantum Electrodynamics and Casimir Effect