Kh. Cho et al., HEISENBERG-PICTURE APPROACH TO THE EVOLUTION OF THE SCALAR FIELDS IN AN EXPANDING UNIVERSE, Physical review. D. Particles and fields, 56(8), 1997, pp. 4916-4921
We present the Heisenberg-picture approach to the quantum evolution of
the scalar fields in an expanding Friedmann-Robertson-Walker universe
which incorporates relatively simply the initial quantum conditions s
uch as the vacuum state, the thermal equilibrium state, and the cohere
nt state. We calculate the Wightman function, two-point function, and
correlation function of a massive scalar field. We find the quantum ev
olution of fluctuations of a self-interacting field perturbatively and
discuss the renormalization of field equations. [S0556-2821(97)06018-
9]. PACS number(s): 04.62.+v.