Constraints on discrete global symmetries in quantum gravity
Ali, Passant, Eichhorn, Astrid, Pauly, Martin, Scherer, Michael M.
Abstract
The question whether global symmetries can be realized in quantum-gravity-matter-systems has far-reaching phenomenological consequences. Here, we collect evidence that within an asymptotically safe context, discrete global symmetries of the form Z(n), n > 4, cannot be realized in a near-perturbative regime. In contrast, an effective-field-theory approach to quantum gravity might feature such symmetries, providing a mechanism to generate mass hierarchies in the infrared without the need for additional fine-tuning.
Topics & Concepts
PhysicsHomogeneous spaceQuantum gravityContext (archaeology)Theoretical physicsQuantumQuantum field theoryMathematical physicsQuantum mechanicsGeometryPaleontologyMathematicsBiologyBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories