The phase of the sum over spheres

Physics

Scientific paper

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Scientific paper

The gravitational saddle point integral which arises in recent work of Hawking and Coleman need not be real. We determine the phase to be (-i)d+2, implying that Coleman's solutions to thecosmological constant problem can work, in its present form, only in dimension d = 2 mod 4. The physical interpretation of this phase is obscure.
A.P. Sloan foundation fellow.

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