3 papers
hep-th2025
Noncritical Conformal Gravity and Four-Dimensional Liouville Theory
Hikaru Kawai, Nobuyoshi Ohta
We study the quantum aspects of the conformal gravity in four dimensions, specifically addressing a known discrepancy in beta functions between general quadratic curvature theories…
hep-th2025
Standard Running, "Physical Running", Cosmological Constant and Newton Coupling
Hikaru Kawai, Nobuyoshi Ohta
Recently it is asserted that the standard beta function does not describe the correct running of the coupling constant in some theories. We show that the problem arises from the as…
hep-th2024
Wave Function Renormalization in Asymptotically Safe Quantum Gravity
Hikaru Kawai, Nobuyoshi Ohta
We discuss the effect of wave function renormalization (WFR) in asymptotically safe gravity. We show that there are two WFR-invariant quantities, and the renormalization (RG) equat…