Two-loop prediction for scaling exponents in (2 + ∈)-dimensional quantum gravity

Toshiaki Aida, Yoshihisa Kitazawa

Research output: Contribution to journalArticlepeer-review

62 Citations (Scopus)


We perform the two-loop level renormalization of quantum gravity in 2 + ∈ dimensions. We work in the background gauge whose manifest covariance enables us to use the short distance expansion of the Green's functions. We explicitly show that the theory is renormalizable to the two-loop level in our formalism. We further make a physical prediction for the scaling relation between the gravitational coupling constant and the cosmological constant which is expected to hold at the short distance fixed point of the renormalization group. It is found that the two-loop level calculation is necessary to determine the scaling exponent to the leading order in ∈.

Original languageEnglish
Pages (from-to)427-458
Number of pages32
JournalNuclear Physics B
Issue number1-2
Publication statusPublished - Apr 28 1997
Externally publishedYes


  • Quantum gravity near two dimensions
  • Scaling exponents
  • Two-loop renormalization

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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