Jacques BROS
Fields and
Particles in de Sitter spacetime
We give tentative answers to the following question:
what becomes of quantum fields and of their "particle content" in the Wigner
sense, when the flat (Minkowski) spacetime is replaced by a typical curved
spacetime with "pure cosmological constant", such as de Sitter spacetime ? Our
quantization method relies on analyticity requirements and on a global
Fourier-Helgason-type analysis on the de Sitter hyperboloid. As an outcome, one
obtains:
- thermal interpretation of the "vacuum" and
- fundamental
unstability of the Wignerian "one-particle states".