  We study vacuum and thermal expectation values of quantum scalar and Dirac
fermion fields on anti-de Sitter space-time. Anti-de Sitter space-time is
maximally symmetric and this enables expressions for the scalar and fermion
vacuum Feynman Green's functions to be derived in closed form. We employ
Hadamard renormalization to find the vacuum expectation values. The thermal
Feynman Green's functions are constructed from the vacuum Feynman Green's
functions using the imaginary time periodicity/anti-periodicity property for
scalars/fermions. Focussing on massless fields with either conformal or minimal
coupling to the space-time curvature (these two cases being the same for
fermions) we compute the differences between the thermal and vacuum expectation
values. We compare the resulting energy densities, pressures and pressure
deviators with the corresponding classical quantities calculated using
relativistic kinetic theory.
