Functional measure for quantum gravity

Michio Kaku and P. Senjanović
Phys. Rev. D 15, 1019 – Published 15 February 1977
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Abstract

We derive the functional measure for quantum gravity by reducing to independent degrees of freedom in the light-cone gauge. We use the recently developed functional techniques devised to handle field theories with second-class constraints in order to analyze quantum gravity quantized along null planes, where it has been shown that all eight dependent components of the metric may be explicitly functionally eliminated, leaving only two unconstrained variables. Using our result, we confirm the result of Fradkin and Vilkovisky for the functional measure for quantum gravity, though we disagree with several other authors who have different measures.

  • Received 9 November 1976

DOI:https://doi.org/10.1103/PhysRevD.15.1019

©1977 American Physical Society

Authors & Affiliations

Michio Kaku*

  • Department of Physics, City College of the City University of New York, New York, New York 10031

P. Senjanović

  • Department of Physics, University of California at Berkeley, Berkeley, California 94720

  • *Work supported in part by the NSF under Grant No. MPS 75-07376 and in part by the Research Foundation of CUNY under Grant No. 11136.
  • Research sponsored by the National Science Foundation under Grant No. PHY 74-08175-A02.

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Vol. 15, Iss. 4 — 15 February 1977

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