Feynman spectral action of the wave operator on asymptotically de Sitter spaces
Analysis of PDEs
2025-11-24 v1 Mathematical Physics
math.MP
Abstract
In this paper, we investigate the wave operator on non-trapping (at all energies) even asymptotically de Sitter spaces. We construct a Feynman operator on the conformal extension of asymptotically de Sitter spaces and give a proof of uniform microlocal estimates for the Feynman operator in this setting. This enables the study of the Lorentzian "spectral" zeta functions in asymptotically de Sitter and the construction of a "spectral" action of the Feynman propagator.
Keywords
Cite
@article{arxiv.2511.17359,
title = {Feynman spectral action of the wave operator on asymptotically de Sitter spaces},
author = {Ruben Zeitoun},
journal= {arXiv preprint arXiv:2511.17359},
year = {2025}
}