Notes on peculiarities of quantum fields in space-times with horizons

K. V. Bazarov

doi:10.1088/1361-6382/ac8f0e

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arXiv · 2112.02188

Notes on peculiarities of quantum fields in space-times with horizons

K. V. Bazarov

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Abstract

We consider massive scalar field theory on static four-dimensional space-times with horizons. We study the near horizon behaviour of the quantum expectation values of the stress-energy tensor operator for thermal state with generic temperatures. It turns out that the dependence of the expectation values on the temperature and tensor structure of the stress-energy tensor differs from the usual one in the Minkowski space-time. Moreover, for non-canonical temperatures these expectation values are divergent on the horizons. We also show that the Wightman functions have additional infrared peculiarities near the horizons.

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K. V. Bazarov. 2021-12-03. Notes on peculiarities of quantum fields in space-times with horizons. https://doi.org/10.1088/1361-6382%2Fac8f0e

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