Quantum corrections in thermal states of fermions on anti-de Sitter space-time
arXiv:1708.03148 · doi:10.1063/1.5017425
Abstract
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.
6 pages, 2 figures, minor changes, to appear in the proceedings of the TIM-17 Physics Conference, 25-27 May 2017, Timisoara, Romania