The variational approach to the Kaluza-Klein theory

Physics

Scientific paper

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Field Theory (Physics), Gauge Theory, Vacuum, Variational Principles, Canonical Forms, Gravitation Theory, Quantum Theory, Supersymmetry, Temperature Dependence

Scientific paper

The canonical quantization approach to the Kaluza-Klein theory is presented. In the case of the five-dimensional Kaluza-Klein theory, the BRS symmetry for the cylindrical gauge is constructed. The temperature-dependent variational method based on the Bogoliubov inequality is developed. The instability of the Kaluza-Klein vacuum above a certain temperature is shown.

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