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VOLUME 47 (1988) | ISSUE 12 | PAGE 609
Hawking temperature and fluctuations of a scalar field in a de Sitter space
The diffusion equation for fluctuations of a scalar field in a de Sitter space is shown to correspond to the Hawking temperature. The relationship between the steady-state solution of this equation and a Hartle-Hawking instanton is established for a space of arbitrary dimensionality and for an arbitrary type of gravitational action.