Two-point functions and bootstrap applications in quantum field theories
Denis Karateev
Abstract
A bstract We study two-point functions of local operators and their spectral representation in UV complete quantum field theories in generic dimensions focusing on conserved currents and the stress-tensor. We establish the connection with the central charges of the UV and IR fixed points. We re-derive “c-theorems” in 2d and show the absence of their direct analogs in higher dimensions. We conclude by focusing on quantum field theories with a mass gap. We study the stress tensor two-particle form factor, derive implications of unitarity and define concrete bootstrap problems in generic dimensions.
Topics & Concepts
PhysicsUnitarityQuantum field theoryField (mathematics)Tensor (intrinsic definition)QuantumRepresentation (politics)Field theory (psychology)Theoretical physicsConnection (principal bundle)Point (geometry)Cauchy stress tensorUltraviolet fixed pointPoint particleMathematical physicsPure mathematicsQuantum mechanicsThermal quantum field theoryQuantum gravityMathematicsGeometryPoliticsLawPolitical scienceBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesQuantum Chromodynamics and Particle Interactions