Vacuum polarization of the quantized massive scalar field in Reissner-Nordström spacetime

Abstract

The approximation of the renormalized stress-energy tensor of the quantized massive scalar field in Reissner-Nordström spacetime is constructed. It is achieved by functional differentiation of the first two nonvanishing terms of the Schwinger-DeWitt expansion involving the coincidence limit of the Hadamard-Minakshisundaram-DeWitt-Seely coefficients $[a_3]$ and $[a_4]$ with respect to the metric tensor. It is shown, by comparison with the existing numerical results, that inclusion of the second-order term leads to substantial improvement of the approximation of the exact stress-energy tensor. The approximation to the field fluctuation, $⟨{\varphi }^2⟩,$ is constructed and briefly discussed.

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• Stress-Energy Tensor of the Quantized Massive Fields in Friedman-Robertson-Walker Spacetimes
• Curved spacetime effective field theory (cEFT) -- construction with the heat kernel method
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