74 citations · 148 across the 8 of their papers we have counts for
8 papers
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…
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…
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…
An Observation on the Beta Functions in Quadratic Gravity
Hikaru Kawai, Nobuyoshi Ohta
We study the beta functions for the dimensionless couplings in quadratic curvature gravity, and find that there is a simple argument to restrict the possible form of the beta funct…
Complex structure of a DT surface with topology
H. Kawai, N. Tsuda, T. Yukawa
A method of defining the complex structure(moduli) for dynamically triangulated(DT) surfaces with torus topology is proposed. Distribution of the moduli parameter is measured numer…
Renormalizability of Quantum Gravity near Two Dimensions
H. Kawai, Y. Kitazawa, M. Ninomiya
We study the renormalizability of quantum gravity near two dimensions. Our formalism starts with the tree action which is invariant under the volume preserving diffeomorphism. We i…
Conformal Invariance and Renormalization Group in Quantum Gravity Near Two Dimensions
T. Aida, Y. Kitazawa, H. Kawai +1
We study quantum gravity in dimensions in such a way to preserve the volume preserving diffeomorphism invariance. In such a formulation, we prove the following trinity: the g…
Two-Dimensional Quantum Gravity in Temporal Gauge
M. Fukuma, N. Ishibashi, H. Kawai +1
We propose a new type of gauge in two-dimensional quantum gravity. We investigate pure gravity in this gauge, and find that the system reduces to quantum mechanics of loop length $…