Conformal Vacuum and Fluctuation-Dissipation in de-Sitter Universe and Black Hole Spacetimes

Abstract

In the studies of quantum field theory in curved spacetime, the ambiguous concept of vacuum state and the particle content is a long-standing debatable aspect. So far it is well known to us that in the background of the curved spacetime, some privileged class of observers detect particle production in the suitably chosen vacuum states of the quantum matter fields. In this work we aim to study the characteristics behaviour of these produced particles in the background of the de-Sitter (dS) Friedmann-Lamaître-Robertson-Walker (FLRW) Universe (both for $(1+1)$ and $(3+1)$ dimensions) and $(1+1)$-dimensional Schwarzschild black hole (BH) spacetime, from the point of view of the respective privileged class of observers. Here the analysis is confined to the observers who perceive particle excitations in the conformal vacuum. We consider some test particles in the thermal bath of the produced particles and calculate the correlation function of the fluctuation of the random force as exerted by the produced quanta on the test particles. We obtain that the correlation function abides by the fluctuation-dissipation theorem, which in turn signifies that the test particles execute Brownian-like motion in the thermal bath of the produced quanta.

arXiv commentMinor modification, to appear in Phys. Rev. D

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• Entanglement harvesting from conformal vacuums between two Unruh-DeWitt detectors moving along null paths
• Detector response along null geodesics in black hole spacetimes and in a Friedmann-Lemaitre-Robertson-Walker Universe
• Classical Simulations of Quantum Field Theory in Curved Spacetime I: Fermionic Hawking-Hartle Vacua from a Staggered Lattice Scheme
• Fluctuation-Dissipation relation from anomalous stress tensor and Hawking effect
• Thermal scalar field stress tensor on a two dimensional black hole and its near horizon properties
• Expansion-sensitive coupling of a local quantum system in de Sitter cosmology
• Quantum Field Theory in Successive Rindler Spacetimes