Two-loop renormalization in quantum gravity near two dimensions

Toshiaki Aida, Yoshihisa Kitazawa, Jun Nishimura, Asato Tsuchiya

Research output: Contribution to journalArticle

34 Citations (Scopus)

Abstract

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
Volume444
Issue number1-2
DOIs
Publication statusPublished - Jun 19 1995
Externally publishedYes

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divergence
gravitation
diagrams
formalism
expansion

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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Two-loop renormalization in quantum gravity near two dimensions. / Aida, Toshiaki; Kitazawa, Yoshihisa; Nishimura, Jun; Tsuchiya, Asato.

In: Nuclear Physics, Section B, Vol. 444, No. 1-2, 19.06.1995, p. 353-380.

Research output: Contribution to journalArticle

Aida, Toshiaki ; Kitazawa, Yoshihisa ; Nishimura, Jun ; Tsuchiya, Asato. / Two-loop renormalization in quantum gravity near two dimensions. In: Nuclear Physics, Section B. 1995 ; Vol. 444, No. 1-2. pp. 353-380.
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