Renormalizability of nonlocal quantum gravity coupled to matter
Gianluca Calcagni, Breno L. Giacchini, Leonardo Modesto, Tibério de Paula Netto, Lesław Rachwał
Abstract
A bstract We extensively study the ultraviolet quantum properties of a nonlocal action for gravity nonminimally coupled to matter. The theory unifies matter and gravity in an action principle such that all the classical solutions of Einstein’s theory coupled to matter are also solutions of the nonlocal theory. At the quantum level, we show that the theory is power-counting super-renormalizable in even dimensions and finite in odd dimensions. A simple extension of the model compatible with the above properties is finite also in even dimensions.
Topics & Concepts
PhysicsQuantum gravityAction (physics)QuantumSpin foamHořava–Lifshitz gravityAsymptotic safety in quantum gravityEinsteinEffective actionMathematical physicsTheoretical physicsLoop quantum gravityQuantum mechanicsQuantum processQuantum dynamicsBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories