Random and Correlated Phases of Primordial Gravitaional Waves
Kin-Wang Ng, A. D. Speliotopoulos
Abstract
The phases of primordial gravity waves is analysed in detail within a quantum mechanical context following the formalism developed by Grishchuk and Sidorov. It is found that for physically relevant wavelengths both the phase of each individual mode and the phase difference between modes are randomly distributed. The phase sum between modes with oppositely directed wave-vectors, however, is not random and takes on a definite value with no rms fluctuation. The conventional point of view that primordial gravity waves appear after inflation as a classical, random stochastic background is also addressed.
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