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

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.

15 pages. Major changes have been made

References in corpus (6)

• Characters of different secular effects in various patches of de Sitter space
• Heating up an environment around black holes and inside de Sitter space
• Quantum fields in the static de Sitter universe
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Cited by in corpus (4)

• Doubling of physical states in the quantum scalar field theory for a remote observer in the Schwarzschild spacetime
• TCC bounds on the static patch of de Sitter space
• On the backreaction issue for the black hole in de Sitter space-time
• The Propagator Matrix Reloaded