Self-consistent compactification at finite temperature on R×S5×S3

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Field Theories In Dimensions Other Than Four, Theory Of Quantized Fields, Exact Solutions

Scientific paper

The self-consistency equations resulting from the Einstein equations for a space-time of the form R×S5×S3, with the vacuum-averaged energy-momentum tensor of a minimally coupled scalar field as the source, are solved using a one-loop finite-temperature calculation of this tensor. Solutions for low temperature are found to exist for large and small values of the radius ratio and also for the ratio close to 1/ √2 . For the ratio equal to 1/ √2 a zero-temperature solution is found. There is a maximum temperature for the ratio larger than this.

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