Quantized Scalar Field in Nariai's Universe with the Topology S tilde sub 2 x S sub 2

摘要

As a sequel to the previous note (Preprint RRK 87-24) dealing with a scalar field in Nariai's universe with the topology S tilde/sub 2/ x S/sub 2/, the scalar field in our universe is canonically quantized. Various propagators of the quantized scalar field are introduced, but the uniquely derived one is the 4-dimensional commutation function G(x, x') which satisfies the homogeneous wave equation and the condition. Its characteristic features are also discussed. (ERA citation 13:049793)