IR-fixed Euclidean vacuum for linearized gravity on de Sitter space
Mathematical Physics
2026-03-17 v3 General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
Abstract
We consider the Euclidean vacuum for linearized gravity on the global de Sitter space, obtained from the Euclidean Green's function on the 4-sphere. We use the notion of Calder\'on projectors to recover a quantum state for the Lorentzian theory on de Sitter space. We show that while the state is gauge invariant and Hadamard, it is not positive on the whole of the phase space. We show however that a suitable modification at low energies yields a well-defined Hadamard state on global de Sitter space.
Cite
@article{arxiv.2405.00866,
title = {IR-fixed Euclidean vacuum for linearized gravity on de Sitter space},
author = {Christian Gérard and Michał Wrochna},
journal= {arXiv preprint arXiv:2405.00866},
year = {2026}
}
Comments
v3: minor edits, accepted in ATMP