Resummation and Higher Order Renormalization in 4D Quantum Gravity

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概要

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• Higher order renormalization in 4D quantum gravity is carried out using dimensional regularization with great care concerning the conformal-mode dependence. In this regularization, resummation can be automatically carried out without making an assumption like that of David, Distler and Kawai. In this paper we consider a model of 4D quantum gravity coupled to QED. Resummation inevitably implies a four-derivative quantum gravity. The renormalizability is directly checked up to O(e^6_r) and O(t^2_r), where e_r and t_r are the running coupling constants of QED and the traceless gravitational mode. There is no other running coupling constant in our model. The conformal mode is treated exactly, which means it is unrenormalized. It is found that Hathrell's results are included in our results. As a by-product, it is found that a higher-order gravitational correction to the beta function of QED is negative. An advantage of our model is that in the very high-energy regime, it closely resembles exactly solvable 2D quantum gravity. Thus, we can study physical states of 4D quantum gravity in this regime in parallel to those of 2D quantum gravity, which can be described with diffeomorphism invariant composite fields.

• 理論物理学刊行会の論文
• 2002-08-25

著者

• Hamada Ken-ji

  High Energy Accelerator Research Organization (kek)

• Hamada Ken-ji

  Institute Of Particle And Nuclear Studies High Energy Accelerator Research Organization (kek)

• Hamada Ken-ji

  Institute of Particle and Nuclear Studies, High Energy Accelerator Research Organization (KEK)

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• A Candidate for a Renormalizable and Diffeomorphism-Invariant 4D Quantum Theory of Gravity
• Resummation and Higher Order Renormalization in 4D Quantum Gravity
• Ward Identities of Liouville Gravity coupled to Minimal Conformal Matter
• Conformal Algebra and Physical States in a Non-Critical 3-Brane on R × S^3
• Ward Identities of Liouville Gravity Coupled to Minimal Conformal Matter
• Analyzing WMAP Observation by Quantum Gravity

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