English

Reviving QFT in $2+1$ de Sitter Spacetime

High Energy Physics - Theory 2024-10-11 v2 Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology High Energy Physics - Phenomenology Quantum Physics

Abstract

We consider a conformally coupled scalar QFT on 2+12+1 dimensional static Einstein universe R×S2R \times S^2, and write down the free theory Hilbert space. We explain that this theory is secretly a QFT in 2+12+1 de Sitter space because all the quantum observables experience {\it quantum revivals}, which naturally restricts the timelike RR to the appropriate de Sitter time range. Our construction circumvents the causal obstruction to formulating QFT in de Sitter due to event horizons. There aren't any in static Einstein. The `unitary gauge' description of the theory is realized by the zonal harmonics P(n^n^)P_\ell(\hat n \cdot \hat n'). We verify that interactions with conformally invariant external sources are mediated only by these modes. Hence these modes comprise the complete basis of the "bulk" theory. When the theory is cut off in the UV the basis dimension scales as the Bekenstein-Hawking formula.

Keywords

Cite

@article{arxiv.2407.07942,
  title  = {Reviving QFT in $2+1$ de Sitter Spacetime},
  author = {Guido D'Amico and Nemanja Kaloper},
  journal= {arXiv preprint arXiv:2407.07942},
  year   = {2024}
}

Comments

30 pages, 7 png figures; minor clarifications, final version accepted in PRD

R2 v1 2026-06-28T17:36:15.864Z