Towards the determination of the dimension of the critical surface in asymptotically safe gravity
Kevin Falls, Nobuyoshi Ohta, Roberto Percacci
Abstract
We compute the beta functions of Higher Derivative Gravity within the Functional Renormalization Group approach, going beyond previously studied approximations. We find that the presence of a nontrivial Newtonian coupling induces, in addition to the free fixed point of the one-loop approximation, also two nontrivial fixed points, of which one has the right signs to be free from tachyons. Our results are consistent with earlier suggestions that the dimension of the critical surface for pure gravity is three.
Topics & Concepts
Dimension (graph theory)Renormalization groupCritical dimensionFixed pointTachyonCritical point (mathematics)Mathematical physicsInfrared fixed pointCoupling (piping)MathematicsNewtonian fluidPhysicsSurface (topology)Theoretical physicsMathematical analysisClassical mechanicsPure mathematicsQuantum mechanicsGeometryMechanical engineeringEngineeringBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories