Quantum Cramer–Rao Bound for a Massless Scalar Field in de Sitter Space

Numerical simulations of the gravitational collapse for a massless scalar field in anti-de Sitter space

Finite-temperature scalar field theory in static de Sitter space.

The finite-temperature one-loop effective potential for a scalar field in the static de Sitter space-time is obtained. Within this framework, by using zeta-function regularization, one can get, in the conformally invariant case, the explicit expression for the stress tensor anomaly. Its value turns out to depend on the thermal state of the system. This conclusion is different from the one deriv...

Evolving of a massless scalar field in Reissner-Nordström Anti-de Sitter spacetimes

We investigate the evolution of a scalar field propagating in Reissner-Nordström Anti-de Sitter spacetime. Due to the characteristic of spacetime geometry, the radiative tails associated with a massless scalar field propagation have an oscillatory exponential decay. The object-picture of the quasinormal ringing has also been obtained. For small charges, the approach to thermal equilibrium is fa...

De Sitter quantum scalar field and horizon holography

We show explicitly that free quantum field theory in de Sitter background restricted on the cosmological horizon produces another quantum field theory unitarily equivalent with the original one. Symmetry properties descending from the dual theory are also remarked. In the restricted theory the thermal properties, known for de Sitter quantum field theory, can be proved straightforwardly.

Analysis of Scalar and Fermion Quantum Field Theory on Anti-de Sitter Space-time

We study vacuum and thermal expectation values of quantum scalar and 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...