On the probability distribution for the cosmological constant

Physics

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The behaviour in Coleman's approach of the probability distribution for the cosmological constant Λ is shown to depend rather strongly on the corrections to the effective action. In particular, when one includes terms proportional to Λ2, the infinite peak in the probability density at Λ=0 smoothly disappears (provided that the coefficient of Λ2 is positive). A random distribution for Λ can then be obtained (as a limiting case) in a domain around Λ=0. This is in accordance with the results of an approach recently proposed by Fischler, Klebanov, Polchinski and Susskind.

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