Two-loop renormalization in quantum gravity near two dimensions

Toshiaki Aida, Yoshihisa Kitazawa, Jun Nishimura, Asato Tsuchiya

Research output: Contribution to journalArticlepeer-review

40 Citations (Scopus)


We study two-loop renormalization in (2 + ε{lunate})-dimensional quantum gravity. As a first step towards the full calculation, we concentrate on the divergences which are proportional to the number of matter fields. We calculate the β functions and show how the nonlocal divergences as well as the infrared divergences cancel among the diagrams. Although the formalism includes a subtlety concerning the general covariance due to the dynamics of the conformal mode, we find that the renormalization group allows the existence of a fixed point which possesses the general covariance. Our results strongly suggest that we can construct a consistent theory of quantum gravity by the ε{lunate} expansion around two dimensions.

Original languageEnglish
Pages (from-to)353-380
Number of pages28
JournalNuclear Physics, Section B
Issue number1-2
Publication statusPublished - Jun 19 1995
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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