Bootstrap bounds on D0-brane quantum mechanics
Henry W. Lin
Abstract
A bstract We derive simple bootstrap bounds on correlation functions of the BFSS matrix theory/D0-brane quantum mechanics. The result strengthens and extends Polchinski’s virial theorem bound to finite energies and gives the first non-trivial bound on ⟨Tr X 2 ⟩. Despite their simplicity, the bounds hint at some features of the dual black hole geometry. Our best lower bounds are already a factor of ∼ 2 from existing Monte Carlo results.
Topics & Concepts
PhysicsSimple (philosophy)Upper and lower boundsStatistical mechanicsVirial theoremBraneMathematical physicsMonte Carlo methodTheoretical physicsQuantum mechanicsMathematicsMathematical analysisPhilosophyGalaxyStatisticsEpistemologyBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories