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Quantization of massive scalar fields over axis symmetric space-time backgrounds

Owen Pavel Fernandez Piedra·Alejandro Cabo Montes de Oca
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Abstract

The renormalized mean value of the quantum Lagrangian and the Energy-Momentum tensor for scalar fields coupled to an arbitrary gravitational field configuration are analytically evaluated in the Schwinger-DeWitt approximation, up to second order in the inverse mass value. The cylindrical symmetry situation is considered. The results furnish the starting point for investigating iterative solutions of the back-reaction problem related with the quantization of cylindrical scalar field configurations. Due to the homogeneity of the equations of motion of the Klein-Gordon field, the general results are also valid for performing the quantization over either vanishing or non-vanishing mean field configurations. As an application, compact analytical expressions are derived here for the quantum mean Lagrangian and Energy-Momentum tensor in the particular background given by the Black-String space-time.

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Owen Pavel Fernandez Piedra, Alejandro Cabo Montes de Oca. 2007-01-24. Quantization of massive scalar fields over axis symmetric space-time backgrounds. https://arxiv.org/abs/gr-qc/0701135

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