Effective Action Model for the Cosmological Constant Revisited

  • Stephen L. Adler
Chapter
Part of the Ettore Majorana International Science Series book series (EMISS, volume 56)

Abstract

I give a revised version of an effective action model for the vanishing of the cosmological constant, incorporating the observation of Y. H. Gao that it is better to formulate the argument with a Mellin transform than with a Laplace transform.

Keywords

Partition Function Cosmological Constant Effective Action Planck Scale Planck Length 
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References

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    S. L. Adler, Phys. Rev. Lett. 62, 373 (1989).Google Scholar
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    S. Coleman, Nucl. Phys. B310, 643 (1988).ADSCrossRefGoogle Scholar
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    The fact that general relativity is the zero slope limit of string theory shows that such regularizations do, in principle, exist.Google Scholar
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    For a survey, see “General Relativity,” S.W. Hawking and W. Israel, eds. ( Cambridge University Press, Cambridge, 1979 ).Google Scholar
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    This is explicitly noted by Banks in Ref. 3, and was first emphasized to me by N. Seiberg (private communication).Google Scholar
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    However, it is not completely clear whether Coleman’s exp exp(3ir/AG) enhancement is a general result, or is specific to his dilute-gas approximation. It requires a coherence between the effective actions in the multiple closed universes, which could be washed out by corrections to the dilute-gas approximation. For instance, if the effective A’s in the different subuniverses differ by random “noise,” the exp exp(3a/AG) is smeared into a single exponential.Google Scholar
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    See e.g., E. Calzetta and B.L. Iiu, Phys. Rev. D35, 495 (1987).Google Scholar

Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • Stephen L. Adler
    • 1
  1. 1.Institute for Advanced StudyPrincetonUSA

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