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Asymptotic Freedom in Renormalisable Gravity and Supergravity

  • E. S. Fradkin
  • A. A. Tseytlin

Abstract

Pure Einstein gravity is known to be non-renormalizable. Though the theory is one-loop finite on shell it probably possesses a divergent S-matrix starting from the two-loop order. The situation is even worse when ordinary matter is added. Quantizing matter fields in the classical metric background we already need bare curvature squared R2-terms in order to absorb the infinities. The possible was of improvement suggest themselves: (i) we may try to arrange all matter fields in a multiplet in order to cancel dangerous divergences. This is the way of supergravity known to be only partially successful at present (only one- and two-loop on shell finiteness was established); (ii) one can add the R2-terms to the Einstein langragian thus obtaining a manifestly renormalizable theory.

Keywords

Yukawa Coupling Matter Field Renormalization Group Equation Flat Space Asymptotic Freedom 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Press, New York 1984

Authors and Affiliations

  • E. S. Fradkin
    • 1
  • A. A. Tseytlin
    • 1
  1. 1.P.N. Lebedev Physical InstituteMoscowUSSR

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