On a Quantized Scalar Field in an Isotropic Closed Universe

Details On a Quantized Scalar Field in an Isotropic Closed Universe On a Quantized Scalar Field in an Isotropic Closed Universe

Sep 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978pthph..60..739n&link_type=abstract

Progress of Theoretical Physics, Vol. 60, No. 3, pp. 739-746

Physics

2

Scientific paper

As a preliminary step to our future work on the back reacion of a quantized field in an isotropic closed universe through its vacuum fluctuation, a massive scalar field is canonically quantized by taking full account of its coupling with the background universe and of the latter's topological (spherical or elliptic) nature. In terms of a vacuum state corresponding to our time-independent set of annihilation and creation operators, the most general formulae (without regularization) for the energy density and pressure are derived from two components of the stress-energy tensor. If the universe becomes static in particular, the formulae are reduced to a generalized version of Streeruwitz's ones in the Einstein universe. General formulae for various propagators of the quantized scalar field are also presented for future usefulness.

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