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Quantum corrections in thermal states of fermions on anti-de Sitter space-time

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arxiv 1708.03148 v2 pith:DFLGAPV4 submitted 2017-08-10 hep-th

classification hep-th
keywords thermalexpectationvacuumanti-defermionssitterspace-timevalue
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We study the energy density and pressure of a relativistic thermal gas of massless fermions on four-dimensional Minkowski and anti-de Sitter space-times using relativistic kinetic theory. The corresponding quantum field theory quantities are given by components of the renormalized expectation value of the stress-energy tensor operator acting on a thermal state. On Minkowski space-time, the renormalized vacuum expectation value of the stress-energy tensor is by definition zero, while on anti-de Sitter space-time the vacuum contribution to this expectation value is in general nonzero. We compare the properties of the vacuum and thermal expectation values of the energy density and pressure for massless fermions and discuss the circumstances in which the thermal contribution dominates over the vacuum one.

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  1. Quantum effects in rotating thermal states on anti-de Sitter space-time

    hep-th 2025-05 accept novelty 6.0 of 10

    For a massless conformally coupled scalar field in rigidly rotating thermal states on AdS3 and AdS4, relativistic kinetic theory approximates the quantum stress-energy tensor well at high temperatures, and the quantum...

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