Renormalization group flows between Gaussian fixed points
Diego Buccio, Roberto Percacci
Abstract
A bstract A scalar theory can have many Gaussian (free) fixed points, corresponding to Lagrangians of the form ϕ □ n ϕ . We use the non-perturbative RG to study examples of flows between such fixed points. We show that the anomalous dimension changes continuously in such a way that at the endpoints the fields have the correct dimensions of the respective free theories. These models exhibit various pathologies, but are nonetheless interesting as examples of theories that are asymptotically free both in the infrared and in the ultraviolet. Furthermore, they illustrate the fact that a diverging coupling can actually correspond to a free theory.
Topics & Concepts
Fixed pointPhysicsInfrared fixed pointRenormalization groupUltraviolet fixed pointScalar (mathematics)GaussianMathematical physicsAsymptotic safety in quantum gravityDimension (graph theory)Coupling (piping)Group (periodic table)Theoretical physicsStatistical physicsQuantum mechanicsMathematical analysisPure mathematicsMathematicsThermal quantum field theoryQuantum gravityGeometryMechanical engineeringQuantumEngineeringBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesQuantum Chromodynamics and Particle Interactions